Find a unit vector in the same direction as the given vector: v=(-1/3)i+(5/2)j

Question

Find a unit vector in the same direction as the given vector: v=(-1/3)i+(5/2)j

A.) u=-2i+15j

B.) u=(-1/sqrt(229))i+(5/sqrt(229)j)

C.) Vector v=(-1/3)i+(5/2)j is a unit vector

D.)u=(-2/sqrt(229))i+(15/sqrt(229)j)

Answer 1

u = v/absv = ( - 1/3i + 5/2j)/((- 1/3)² + (5/2)²)^1/2 = (- 1/3i +2/5j)/(229/36)^1/2= - 2/sqrt(229)i + 15/sqrt(229)j.

Answer is D.)