Find a unit vector in the direction of v = (1,-1). Write your answer as a linear combination of the standard unit vectors i and j. Round each component to the nearest hundredth, if necessary.

Question

A 0.71i - 0.71j
B 0i - 0j
C 1.41i - 1.41j
D 1i - 1j
E 2.83i - 3.83j
F -1i - 1j

Answer 1

||v||^2 = 1^2 + 1^2 = 2

So, you need to divide v by sqrt(2) to normalize it to one.