Find a unit vector in the direction of ` vec a=2 hat i-\ 3 hat j+6 hat k`

Explanation

Unit vector for a vector `a` along its direction is given by `veca/|veca|`.

Here, `vec a = 2hati-3hatj+6hatk`

`:. |veca| = sqrt(2^2+(-3)^2+6^2) = sqrt(4+9+36) = 7`

`:.` Unit vector in direction of `veca`, `(vecu) = 1/7(2hati-3hatj+6hatk)`

`=>vec u = 2/7hati-3/7hatj+6/7hatk`