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

Question

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

Accepted Answer

$-4.5 \mathrm{i} + 8.5\mathrm{j} - 4\mathrm{k}$

Vectors - Ratio Theorem and Section Formula

Vectors - Ratio Theorem and Section Formula

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