Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

O denotes the origin, and K lies on AB such that AK : KB = 2 : 1. $\overrightarrow{OA} = a$ and $\overrightarrow{OB} = b$.
(main)[3]

Determine the position vector of K. Express your answer in terms of $a$ and $b$ in simplest form.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The position vector is $\frac{1}{3}a+\frac{2}{3}b$.” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI