Find a unit vector in the same direction!?

Question

as a= (7,-2,-2)

Answer 1

He is right. Vector a is

a = 7 i + (-2) j + (-2) k

Unit vector: Take the square root of the sum of the squared integers and divide each by this quantity.

sqrt ( 7^2 + (-2)^2 + (-2)^2 ) = sqrt (57)

e = 7/(sqrt(57)) i - 2/(sqrt(57)) j - 2/(sqrt(57)) k

Answer 2

I would go with v = (1/sqrt(57))*(7,-2,2).

This will be a vector in the same direction, but scaled down by sqrt(7^2 + (-2)^2 + 2^2).