Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

(a(i))[3]

Find the value of $|\vec{OB}|$.

(a(ii))[2]

Find the vector $\vec{BC}$.

(b)[2]

Find $\vec{QX}$ using $\mathbf{a}$ and $\mathbf{b}$. Give your answer in its simplest form.

(c(i))[2]

Calculate the value of $M^2$.

(c(ii))[2]

Calculate the inverse $M^{-1}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $12.6$; accept $12.64$ to $12.65$.

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