Vector a,band care such that a+b+c=0and ∣a∣=3,∣∣b∣∣=5and ∣c∣=7.Find the angle between aand b.
In triangle ABC (Figure), which of the following is not true: (A) AB+BC+CA=0 (B) AB+BC−AC=0 (C) AB+BC−CA=0 (D) AB−CB+CA=0
Show that the points A(1,2,8) , B(5,0,2) and C(11,3,7)are collinear, and find the ratio in which B divides AC.
Let the vectors a,b,cbe given as a1i^+a2j^+a3k^,b1i^+b2j^+b3k^,c1i^+c2j^+c3k^. Then show that a×(b+c)=a×b+a×c
Area of a rectangle having vertices A, B, C and D with position vectors −i^+21j^+4k^,i^+21j^+4k^,i^−21j^+4k^ and −i^−21j^+4k^ respectively is
(A) 1/2 (B) 1 (C) 2 (D) 4