# scalars and vectors

- Created by: tia5sos
- Created on: 02-12-20 20:17

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- scalars and vectors
- scalars are quantities with size only (magnitude)
- examples: speed, distance, time and mass

- vectors have both size (magnitude) and direction
- examples: velocity, displacement, force and acceleration

- distance and displacement are different things
- they both measure how far something has travelled but displacement also says which direction something has travelled in
- for example, you could say a car has travelled a distance of 10m, but it has a displacement of 10m north

- they both measure how far something has travelled but displacement also says which direction something has travelled in
- to measure the speed of an object, you only need to measure how fast it is going
- ... calculating/ measuring the direction is not important
- e.g. speed = 30mph

- ... calculating/ measuring the direction is not important
- velocity is a more useful measure of motion
- this is because it describes both the speed and direction
- e.g. velocity = 30mph due north

- this is because it describes both the speed and direction
- quantities like speed and distance, that are only numbers, are called scalar quantities
- quantities like velocity and displacement, that have direction and speed, are vectors
- example
- 1.when we use vectors, we often talk about there being a positive and a negative direction
- 2. a car moving in one direction could have a velocity of 3m/s, but moving in the opposite direction it will have a velocity of -3m/s
- 3. in this example, the car has a speed of 3m/s in both directions, you can often pick a positive direction that makes the calculations easier

- 2. a car moving in one direction could have a velocity of 3m/s, but moving in the opposite direction it will have a velocity of -3m/s

- 1.when we use vectors, we often talk about there being a positive and a negative direction

- scalars are quantities with size only (magnitude)

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