Question

if a÷q-r=b÷r-p=c÷p-q,let us show that a + b + c = 0 = pa + qb+ rc​

Answer 1

Answer:

Step-by-step explanation:

Let a/q−r=b/r−p=c/p−q=k

q/q−r=k (on multiplying by P)

pa=k(pq=pr)………….i

In the same way we can write

qb=k(qr−qp)………….ii

and fc=k(rp−rq)……………iii

on adding eq i, ii and iii

pa+qb+rc=k(p−pr+qr−qp+rp−rq)

pa+qb+rc=0

Hence a+b+c=pa+qb+rc