Question

Geometria Analitica

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

Answer 1

Olá Edgomeste,

 

$AP=PB$

 

$P-A=B-P$

 

$2P=B+A$

 

$P=\frac{B+A}{2}$

 

Substituindo:

 

$P=\frac{(4, 5, -2) + (2, -3, 1)}{2}$

 

$P=\frac{(6, 2, -1)}{2}$

 

$\boxed{P=(3,1,-\frac{1}{2})}$