The two adjacent sides of a parallelogram are 2i^−4j^+5k^and i^−2j^−3k^. Find the unit vector parallel to its diagonal. Also, find its area.
Three vectors →a, →band →csatisfy the condition →a+→b+→c=→0. Evaluate the quantity μ=→a→˙b+→b→˙c+→⋅→a, if ∣→a∣=1,∣→b∣=4and ∣→c∣=2.
If θ is the angle between any two vectors a and b, then ∣∣a.b∣∣=∣∣a×b∣∣ when θ is equal to(A) 0 (B) 4π (C) 2π (D) π