बिंदु A,B,C और D के स्थिति सदिश हैं `A=3hati+4hatj+5hatk`,`B=4hai+5hatj+6hatk`,`C=7hati+

The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk , B=4hati+5hatj+6hatk , C=7hati+9hatj+3hatk , and D=4hati+6hatj , then the displacement vectors AB and CD are

If the position vectors of A, B, C, D are 3hat i +2 hat j+hatk, 4 hati +5hatj+5hatk, 4hati +2hatj -2hatk, 6hati +5hatj-hatk respec-tively then the position vector of the point of intersection of lines AB and CD is

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -

Consider points A,B,C and D with position vectors 7hati-4hatj+7hatk, hati-6hatj+10hatk, hati-3hatj+4hatk and 5hati-hatj+5hatk respectively. Then ABCD is a (A) square (B) rhombus (C) rectangle (D) parallelogram but not a rhombus

Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,hati-6hatj+10hatk,-1hati-3hatj+4hatk and 5hati-hatj+5hatk , respectively. Then, ABCD is

The position vectors of the point A, B, C and D are 3hati-2hatj -hatk, 2hati+3hatj-4hatk, -hati+hatj+2hatk and 4hati+5hatj +lamda hatk , respectively. If the points A, B, C and D lie on a plane, find the value of lamda .

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

The position vectors of vertices of a DeltaABC are 4hati - 2 hatj , hati + 4hatj - 3hatk and -hati + 5hatj + hatk respectively , then angleABC is equal to