Find the scalar components of the vector ABwith initial point A(2,1)and terminal point B(−5,7)˙
If i^+j^+k^,2i^+5j^,3i^+2j^−3k^and i^−6j^−k^are the position vectors of points A, B, C and D respectively, then find the angle between ABand CD. Deduce that ABand CD
Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are 31,31,31.
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.