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

Jul 12, 2016

$\frac{1}{9} \left(8 , - 1 , 4\right) = \frac{1}{9} \left(8 i - j + 4 k\right)$

#### 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 $\frac{1}{|} u | u$, where

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

of u).

Here. it is $\frac{1}{9} \left(8 i - j + 4 k\right)$