Question

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(14, -7)
(2, 1)
(14, 1)
(2, -7)

Answer 1

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(14, -7)

(2, 1)

(14, 1)

(2, -7)

Answer 2

(14 , -7)

Explanation:

terminal points: A (-6,3) B (4,-2)

u = x₁ + i y₁ u = -6 + i3

v =x₂ + iy₂ = 4 - i2 2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)