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Ivy Maths
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Year 10

Vectors

Definition

A vector describes a movement: how far across and how far up or down, written as a column like (3 over 2). Unlike an ordinary number, a vector has both size and direction.

Why Do I Have to Learn This?

Vectors describe movement with both size and direction. They steer ships, planes and characters in video games.

Key Rules:

  • 1. The top number moves across (right is positive), the bottom number moves up or down (up is positive).
  • 2. Add vectors by adding tops together and bottoms together.
  • 3. Multiplying a vector by a number scales its length; a negative flips its direction.

Remember:

  • Common slip: mixing the order, across always comes on top.
  • Equal vectors have the same numbers even if they start in different places.
  • A vector journey a then b lands in the same place as b then a.

Translation

Sliding a shape to a new position without turning it.

Moving a shape 3 squares to the right is a translation.

Animated Example:

xy
Right 3, up 2: (3, 2)

Free Vectors Worksheet

Download free worksheets and practise today.

Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Put them in order

Tap the numbers from smallest to largest.

In order so far: nothing yet