AI generatedGeometry and measuresKS3 / GCSE

Position vectors

Position vectors.

  • 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

Point A has coordinates . Write its position vector from the origin.

A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−6−5−4−3−2−112−5−4−3−2−11230A

Example 2

Point A has coordinates . Write its position vector from the origin.

A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−5−4−3−2−112−5−4−3−2−1120A

Your turn

Question 1

Point A has coordinates . Write its position vector from the origin.

Check answer
A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−4−3−2−1123−5−4−3−2−1120A
Question 2

Point A has coordinates . Write its position vector from the origin.

Check answer
A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−3−2−11234−5−4−3−2−1120A
Question 3

Point A has coordinates . Write its position vector from the origin.

Check answer
A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−2−112345−5−4−3−2−1120A
Question 4

Point A has coordinates . Write its position vector from the origin.

Check answer
A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−2−112345−5−4−3−2−1120A
Question 5

Point A has coordinates . Write its position vector from the origin.

Check answer
A position vector starts at the origin, so its components are the coordinates of the endpoint.
Coordinate graph−2−112345−5−4−3−2−1120A
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