If-Px-b-c-Qy-c-a-Rz-a-b-then-find-Pax-Qby-Rcz-

Question Number 14128 by chux last updated on 28/May/17

If \frac{P x}{(b - c)} = \frac{Q y}{(c - a)} = \frac{R z}{(a - b)}, then find

P a x + Q b y + R c z .

Answered by ajfour last updated on 28/May/17

l e t \frac{P x}{b - c} = \frac{Q y}{c - a} = \frac{R z}{a - b} = m (s a y)

t o f i n d :

P a x + Q b y + R c z =

m a (b - c) + m b (c - a) + m c (a - b)

= m (a b - a c + b c - a b + a c - b c)

= 0 .

Commented by Joseph Paul Byaraujo. last updated on 29/May/17