A vector $\vec{r}$ is equally inclined to coordinate axes and its magnitude is 6 units, then $\vec{r}$ is ________.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $2\sqrt{3}(±\hat{i}±\hat{j}±\hat{k})$
let $\vec v=a\hat i+a\hat j+a\hat k$
$|\vec v|=|\sqrt{3}a|=6$
so $a=±2\sqrt{3}$
$\vec v=2\sqrt{3}(±\hat i±\hat j±\hat k)$