Solve u plus v times u-v when you equals 5i plus j and when v equals i-6j?

Answer 1

-1

Answer 2

(u + v)*(u - v) = u^2 - v^2. If u = 5i + j, the u^2 = 25i^2 + 10ij + j^2, and if v = i - 6j, then v^2 = i^2 - 12ij + 36j^2, therefore (u + v)*(u - v) = u^2 - v^2 = 24i^2 + 22ij - 35j^2.