Write a unit vector making equal acute angle with the coordinates axes.

Explanation

Let `alpha` be the equal acute angle with the coordinates axes.

`implies l=m=n=cos alpha`

As, `l^2+m^2+n^2=1`

`therefore l^2+l^2+l^2=1`

`implies 3l^2=1`

`implies l=pm1/sqrt3`

`implies l=1/sqrt3` (as angle is acute)

Thus, required unit vector is `(1/sqrt3 hati+1/sqrt3 hatj+1/sqrt3 hatk)`.