If a = b = c , find the value of (pa + qb + rc). q

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a	=	b	=	c	= k (let)
q − r		r − p		p − q

⇒ a = k (q – r);
b = k (r – p);
c = k (p – q)
∴ pa + qb + rc
= k [p (q – r) + q (r – p) + r (p – q)]
= k (pq – pr + qr – pq + rp – qr)
= k × 0 = 0

If	a	=	b	=	c	, find the value of (pa + qb + rc).
	q − r		r − p		p − q