AI generatedGeometry and measuresKS3 / GCSE

Multiplying a vector by a scalar

Multiplying a vector by a scalar.

  • The top component is horizontal; the bottom is vertical.
  • Add or subtract matching components. A scalar multiplies both.
  • Reversing a vector changes both signs; position vectors start at the origin.

Example 1

Calculate.

Multiply every component by the scalar.

Example 2

Calculate.

Multiply every component by the scalar.

Your turn

Question 1

Calculate.

Check answer
Multiply every component by the scalar.
Question 2

Calculate.

Check answer
Multiply every component by the scalar.
Question 3

Calculate.

Check answer
Multiply every component by the scalar.
Question 4

Calculate.

Check answer
Multiply every component by the scalar.
Question 5

Calculate.

Check answer
Multiply every component by the scalar.
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