With respect to the origin $O$ , the position vectors of two points $A$ and $B$ are $\left( 6\mathbf

Question

With respect to the origin $O$ , the position vectors of two points $A$ and $B$ are $\left( 6\mathbf{i}-2\mathbf{j}-\mathbf{k} \right)$ and $\left( -\mathbf{i}+5\mathbf{j}-3\mathbf{k} \right)$ respectively. $C$ is on $AB$ produced such that $2AC=3AB$. Find the position vector of $C$.

Accepted Answer

$\vec{OC} = -4.5\mathbf{i} + 8.5\mathbf{j} - 4\mathbf{k}$ or $\frac{1}{2}\begin{pmatrix} -9 \ 17 \ -8 \end{pmatrix}$

Unit 13.1 Worked Example 2

Unit 13.1 Worked Example 2

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