Question

Find a vector in the direction of the vector $3\hat{i}-\hat{j}+4\hat{k}$, which has magnitude 6 units.

Answer 1

We have,

$\overrightarrow{a}=3\hat{i}-\hat{j}+4\hat{k}\hat{a}=\frac{3\hat{i}-\hat{j}+4\hat{k}}{\sqrt{26}}$

Since,

$\overrightarrow{b}=6\hat{a}$

Therefore,

$=\frac{6\left(3\hat{i}-\hat{j}+4\hat{k}\right)}{\sqrt{26}}$

Hence, this is the answer.