The position vectors of two points $A$ and $B$ are $(\mathbf{i}+3\mathbf{j}+3\mathbf{k})$ and

Question

The position vectors of two points $A$ and $B$ are $(\mathbf{i}+3\mathbf{j}+3\mathbf{k})$ and $(-2\mathbf{i}+7\mathbf{j}+3\mathbf{k})$ respectively. Given that point $C$ is on the line containing $A$ and $B$. And also, $C$ is $15$ units away from $A$, find the possible position vectors of $C$.

Accepted Answer

$\begin{pmatrix}-8\15\3\end{pmatrix}$ or $\begin{pmatrix}10\-9\3\end{pmatrix}$.

Vectors - Unit Vectors

Vectors - Unit Vectors

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