Question

The value of the expression |vector(a x b)|^2 + vector(a.b)^2 is ...........

Answer 1

|a×b|^2+(a.b)^2 =a^2b^2sin^2theta +a^2b^2cos^2theta=a^2b^2(sin^2theta+cos^2theta)=a^2b^2. (as. sin^2theta +cos^2theta =1)