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

$$\mathrm{If}\frac{\mathrm{P}x}{(b-c)}=\frac{\mathrm{Q}y}{(c-a)}=\frac{\mathrm{R}z}{(a-b)},\mathrm{then}\mathrm{find}$$$$\mathrm{P}ax+\mathrm{Q}by+\mathrm{R}cz.$$

Answered by ajfour last updated on 28/May/17

$$let\frac{Px}{b-c}=\frac{Qy}{c-a}=\frac{Rz}{a-b}=m\left(say\right)$$$$tofind:$$$$Pax+Qby+Rcz=$$$$ma(b-c)+mb(c-a)+mc(a-b)$$$$=m(ab-ac+bc-ab+ac-bc)$$$$=0.$$

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

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