The position vectors of two points $A$ and $B$ are $(3\mathbf{i}-\mathbf{j}+4\mathbf{k})$ and

Question

The position vectors of two points $A$ and $B$ are $(3\mathbf{i}-\mathbf{j}+4\mathbf{k})$ and $(2\mathbf{i}+\mathbf{j}+2\mathbf{k})$ respectively. Points $A$, $B$, and $C$ are collinear. Given that point $C$ is $6$ units away from $A$, find the possible position vectors of $C$.

Accepted Answer

$\begin{pmatrix}1\3\0\end{pmatrix}$ or $\begin{pmatrix}5\-5\8\end{pmatrix}$.

Vectors - Unit Vectors

Vectors - Unit Vectors

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