Paper 2 structured question: Vector geometry
Paper 2Core or Extended Mathematics3 marks
Diagram Description
Triangle with position vectors
Points A and B have position vectors \( \vec{a} \) and \( \vec{b} \) respectively relative to the origin O. Point C lies on the line segment AB such that AC:CB = 2:1.
| Point | Position Vector |
|---|---|
| A | \( \vec{a} \) |
| B | \( \vec{b} \) |
| C | ? |
- a[3]
Calculate Find the position vector of point C in terms of \( \vec{a} \) and \( \vec{b} \).
Aim for approximately 3 distinct marking points.