If angle between the lines 1x−2=2y−3=−2z+5 and 2x−y−kz=λ is cos−1(322) then find k (A) 53 (B) 53 (C) 35 (D) 35
Find the direction cosines of the vector joining the points A(1,2,3)andB(1,2,1), directed from A to B.
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.
Show that the vectors 2i^−j^+k^,i^−3j^−5k^and 3i^−4j^−4k^form the vertices of a right angled triangle.