Question

Find the direction cosines of the following vector:

`2hati + 2hatj - hatk`

Answer 1

We have, `2hati + 2hatj - hatk`

The direction cosines are

`2/(sqrt(2^2 + 2^2 + (-1)^2)), 2/(sqrt(2^2 + 2^2 + (-1)^2)), (-1)/(sqrt(2^2 + 2^2 + (-1)^2))`

or, 

`2/3, 2/3, -1/3`