Scalars & Vectors (Edexcel A Level Maths) : Revision Note

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Scalars & Vectors

Mechanics uses a variety of different scalar and vector quantities.

What are scalars?

  • Scalars are quantities without direction, they only have a size (magnitude)

    • e.g. a speed of 7 m/s, a distance of 5 m, a time of 15 s or a mass of 12 kg

  • Scalars can only be positive- you can’t have a negative distance or speed!

What are vectors?

  • Vectors are quantities which also have a direction, this is what makes them more than just a scalar

    • e.g. two objects with velocities of 7 m/s and ‑7 m/s are travelling at the same speed but in opposite directions

  • Vector quantities can have positive or negative components

  • Some examples of vector quantities you may come across are displacement, velocity, acceleration, force/weight, momentum

    • Displacement is the distance moved in a given direction from a starting point

    • Velocity is a speed in a given direction (displacement over time)

    • Acceleration is the change in velocity over time

1.1.1 Scalars _ Vectors Diagram 1 , downloadable Edexcel A Level Mechanics revision notes

Vector quantities of displacement, velocity and acceleration

Worked Example

State whether each of the following is a scalar or a vector quantity.

a) A speed boat travels at 3m/s on a bearing of 052o

b) A garden is 1.7 m wide

c) A car accelerates at 5.4 ms-2

d) A film lasts 2 hours 17 minutes

e) An athlete runs at an average speed of 10.44 ms-2

f) A ball rolls forwards 60 cm before stopping

1.1.1 Scalars & Vectors Example Solution, downloadable Edexcel A Level Mechanics revision notes

Examiner Tips and Tricks

  • Make sure you fully understand the definitions of all the words in this section so that you can be clear about what your exam question is asking of you

  • Vectors appear in bold (non-italic) font in textbooks, on exam papers, etc (i.e. F, α ) but in handwriting should be underlined (i.e. F , α )

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Author: Amber

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Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.

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