Suppose and . Then, what is the average (arithmetic mean) of the three products , , and ?
Suppose and .
Then, what is the average (arithmetic mean) of the three products , , and ?
(p+q+r)2=(p+q+r)(p+q+r)=p2+q2+r2+2(pq+qr+rp)(p+q+r)2=p2+q2+r2+2(pq+qr+rp)72=9+2(pq+qr+rp)2(pq+qr+rp)=72−9=49−9=40(pq+qr+rp)=20
the average (arithmetic mean) of the three products , , and ? (pq+qr+rp)3=203=623