Question

unit vector in the direction of 4i+4j-2k is ?

Answer 1

As We have vector given is 4i + 4j -2k named as U vector

Therefore unit vector in direction of U vector is given by

U unit vector = U vector/IUI

IUI is basically the magnitude of the vector. IUI is calculated as follows,

IUI = \sqrt{(4^2) + (4^2) + (-2^2)}

IUI = \sqrt{36} = 6

As Unit vector "U" formula in directon of Vector "U" is given as

U unit vector = U vector/IUI

U vector = 4i + 4j -2k (Given)

IUI = 6 (calculated)

U unit vector = (4i + 4j -2k)/6

U unit vector = (2/3) i + (2/3) j - (1/3) k

Hope my answer and the attached picture will satisfy you.