How do you normalize #(7 i -j +2k)#?

1 Answer
Feb 15, 2016

To normalize a vector we divide each element by the length of the vector.

The resulting vector is #(7/sqrt54i-1/sqrt54j+2/sqrt54k)#

Explanation:

Find the length of the vector:

#l=sqrt(7^2+(-1)^2+2^2)=sqrt54#

Divide each element of the original vector by #sqrt54#.