Vectors - Unit Vectors
Vectors - Unit Vectors
The position vectors of two points \(A\) and \(B\) are \((\mathbf{i}-3\mathbf{j}+2\mathbf{k})\) and \((4\mathbf{i}+2\mathbf{k})\) respectively. Given that point \(C\) is on line \(AB\) and \(9\) units away from \(B\), find the possible position vectors of \(C\).
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Answer:\(C=\left(4+\frac{9\sqrt2}{2},\frac{9\sqrt2}{2},2\right)\) or \(C=\left(4-\frac{9\sqrt2}{2},-\frac{9\sqrt2}{2},2\right)\).
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