Question

How do you find a unit vector with the same direction as 8i - j + 4k?

Answer 1

`1/9(8, -1, 4)=1/9(8i-j+4k)`

Explanation:

For the same direction. keep the sign configuration (+ - +) for the

components unchanged

For any vector u, the unit vetor in the direction of u is `1/|u|u`, where

`|u|=sqrt`(sum of the squares of the magnitudes of the components

of u).

Here. it is `1/9(8i-j+4k)`