Vectors Question: find the components of the unit vector with the opposite direction to that of the vector

Question

1. Find the components of the unit vector with the opposite direction to that of the vector from M (2, 3, 5) to N (8, 1, -2). Please show all work.

Answer 1

V = vector from M to N = <8-2, 1-3, -2-5> = <6, -2, -7>

ll V ll = magnitude of V = √ [6² + (-2)² + (-7)²] = √89

Unit vector in opposite direction to V is -(1/llVll) V = <-6/√89, 2/√89, 7/√89 >