Question

Dados os pontos A(2,-3,1) e B(4,5,-2) determinar o ponto P tal que AP=PB

Answer 1

AP = PB

P - A = B - P

P + P = B + A

2P = B + A

2P = (4, 5, -2) + (2, -3, 1)

2P = (6, 2, -1)

P = 1/2 . (6, 2, -1)

P = (3, 1, -1/2)