Subjects
Biology
Chemistry
AP Chemistry
English
AP English Literature
AP Physics 1
Dec 18, 2025
112
15 pages
Lucy Styles @lucystyles_htpt
Ever wondered why it matters that an asteroid is moving at 30,000 mph toward Earthrather than just... Show more
When describing quantities in physics, we use two main types of measurements vectors and scalars. Each serves a specific purpose in helping us understand the physical world.
By the end of this lesson, you'll be able to identify whether a measurement is a vector or scalar quantity. This skill is essential for solving physics problems correctly.
💡 Think of scalars as "how much" and vectors as "how much AND which way" measurements.
Scalar quantities tell us only about magnitude—how much of something exists—without any directional information. When you see a number with just a unit, it's typically a scalar.
Common examples of scalar quantities include
These measurements give us valuable information about amount, but they don't tell us anything about direction.
Scalar quantities are straightforward measurements that answer "how much" questions. When someone tells you a room is 10 meters long, that's a scalar—it has magnitude but no direction.
Other common scalar quantities include
Scalar quantities can be added, subtracted, multiplied, or divided using ordinary arithmetic since they don't have directional components to consider.
🔑 Remember If you can answer a measurement with just a number and unit (without needing to specify direction), it's probably a scalar.
Vector quantities have both magnitude AND direction. This combination gives us much more complete information about physical situations.
Unlike scalars, vectors tell us not just how much, but which way. For example, "10 meters to the northeast" is a vector quantity called displacement.
Another common vector is velocity—like "100 kilometers per hour to the west." Notice how both examples include direction information, making them vectors.
Vectors give us a complete picture of physical quantities by including direction. When we say "10 meters to the northeast," we know exactly where something ended up relative to its starting position.
In physics, vectors are often represented by arrows. The length of the arrow shows magnitude (how much), while the arrow's direction indicates, well, the direction!
Common vector quantities include
🚀 The next time you see an arrow on a weather map showing wind direction and speed, remember—that's a vector!
Vectors aren't just classroom concepts—they're crucial for understanding our world! Take asteroids, for instance. Scientists track their path using vectors because they need to know both speed AND direction.
Without vectors, we couldn't predict meteor showers or calculate whether an asteroid might collide with Earth. The combination of magnitude and direction allows astronomers to map precise trajectories through space.
Vectors also help engineers design bridges, pilots navigate airplanes, and meteorologists predict weather patterns. Any situation where "which way" matters requires vectors to describe it properly.
Time to test your knowledge! Can you identify which of these quantities are vectors and which are scalars?
✅ Quick tip If you can answer the question "which way?" about a measurement, it's definitely a vector!
Distance and displacement are often confused, but they're actually different types of measurements. Distance tells us how far something moved (scalar), while displacement tells us how far AND in what direction (vector).
For example, if you travel 18 km along a winding road, your distance is 18 km (scalar). However, if you end up 18 km northwest of your starting point, your displacement is "18 km to the northwest" (vector).
The key difference? Distance describes the total path length, while displacement is like drawing a straight line from start to finish—it's about the final position relative to the starting point.
When you follow a winding path, the distance you travel (red line) will always be greater than or equal to your displacement (yellow line). That's because displacement is always the straight-line path between start and finish points.
Think about walking around your school. If you walk from your classroom, through the hallways, to the cafeteria and back, your distance might be 400 meters. But your displacement would be zero—you ended up right where you started!
🧭 Remember Displacement is always measured as a straight line from start to finish, regardless of the actual path taken.
Let's look at a real example A man walks completely around a square park that has 1 km sides. What's his displacement and distance?
His distance is 4 km—the total length of path he walked (1 km × 4 sides). This is a scalar quantity because it only tells us how far he walked.
His displacement is 0 km—he ended up exactly where he started! Even though he walked quite far, his final position relative to his starting point hasn't changed at all.
This example shows why understanding the difference matters. A GPS might show you traveled 4 km (distance), but if you're trying to figure out how far you are from home (displacement), that's a completely different measurement.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
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Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Lucy Styles
@lucystyles_htpt
Ever wondered why it matters that an asteroid is moving at 30,000 mph toward Earthrather than just knowing its speed? This is where vectors and scalars come in! These fundamental physics concepts help us describe the physical world with... Show more
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
When describing quantities in physics, we use two main types of measurements: vectors and scalars. Each serves a specific purpose in helping us understand the physical world.
By the end of this lesson, you'll be able to identify whether a measurement is a vector or scalar quantity. This skill is essential for solving physics problems correctly.
💡 Think of scalars as "how much" and vectors as "how much AND which way" measurements.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Scalar quantities tell us only about magnitude—how much of something exists—without any directional information. When you see a number with just a unit, it's typically a scalar.
Common examples of scalar quantities include:
These measurements give us valuable information about amount, but they don't tell us anything about direction.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Scalar quantities are straightforward measurements that answer "how much" questions. When someone tells you a room is 10 meters long, that's a scalar—it has magnitude but no direction.
Other common scalar quantities include:
Scalar quantities can be added, subtracted, multiplied, or divided using ordinary arithmetic since they don't have directional components to consider.
🔑 Remember: If you can answer a measurement with just a number and unit (without needing to specify direction), it's probably a scalar.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Vector quantities have both magnitude AND direction. This combination gives us much more complete information about physical situations.
Unlike scalars, vectors tell us not just how much, but which way. For example, "10 meters to the northeast" is a vector quantity called displacement.
Another common vector is velocity—like "100 kilometers per hour to the west." Notice how both examples include direction information, making them vectors.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Vectors give us a complete picture of physical quantities by including direction. When we say "10 meters to the northeast," we know exactly where something ended up relative to its starting position.
In physics, vectors are often represented by arrows. The length of the arrow shows magnitude (how much), while the arrow's direction indicates, well, the direction!
Common vector quantities include:
🚀 The next time you see an arrow on a weather map showing wind direction and speed, remember—that's a vector!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Vectors aren't just classroom concepts—they're crucial for understanding our world! Take asteroids, for instance. Scientists track their path using vectors because they need to know both speed AND direction.
Without vectors, we couldn't predict meteor showers or calculate whether an asteroid might collide with Earth. The combination of magnitude and direction allows astronomers to map precise trajectories through space.
Vectors also help engineers design bridges, pilots navigate airplanes, and meteorologists predict weather patterns. Any situation where "which way" matters requires vectors to describe it properly.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Time to test your knowledge! Can you identify which of these quantities are vectors and which are scalars?
✅ Quick tip: If you can answer the question "which way?" about a measurement, it's definitely a vector!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Distance and displacement are often confused, but they're actually different types of measurements. Distance tells us how far something moved (scalar), while displacement tells us how far AND in what direction (vector).
For example, if you travel 18 km along a winding road, your distance is 18 km (scalar). However, if you end up 18 km northwest of your starting point, your displacement is "18 km to the northwest" (vector).
The key difference? Distance describes the total path length, while displacement is like drawing a straight line from start to finish—it's about the final position relative to the starting point.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
When you follow a winding path, the distance you travel (red line) will always be greater than or equal to your displacement (yellow line). That's because displacement is always the straight-line path between start and finish points.
Think about walking around your school. If you walk from your classroom, through the hallways, to the cafeteria and back, your distance might be 400 meters. But your displacement would be zero—you ended up right where you started!
🧭 Remember: Displacement is always measured as a straight line from start to finish, regardless of the actual path taken.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Let's look at a real example: A man walks completely around a square park that has 1 km sides. What's his displacement and distance?
His distance is 4 km—the total length of path he walked (1 km × 4 sides). This is a scalar quantity because it only tells us how far he walked.
His displacement is 0 km—he ended up exactly where he started! Even though he walked quite far, his final position relative to his starting point hasn't changed at all.
This example shows why understanding the difference matters. A GPS might show you traveled 4 km (distance), but if you're trying to figure out how far you are from home (displacement), that's a completely different measurement.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
4
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Algebra
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