If a=2i+3j−k,b=−i+2j−4kandc=i+j+k, then find thevalue of (a×b)a×c˙˙
If bandc are two-noncollinear vectors such that a∣∣(b×c), then prove that (a×b).(a×c) is equal to ∣a∣2(bc˙)˙
Vectors a=i^+2j^+3k^,b=2i^−j^+k^ and c=3i^+j^+4k^, are so placed that the end point of one vector is the starting point of the next vector. Then the vector are (A) not coplanar (B) coplanar but cannot form a triangle (C) coplanar and form a triangle (D) coplanar and can form a right angled triangle
Prove that the resultant of two forces acting at point O and represented by OB and OC is given by 2OD ,where D is the midpoint of BC.
In a triangle PQR,SandT are points on QRandPR, respectively, such that QS=3SRandPT=4TR˙ Let M be the point of intersection of PSandQT˙ Determine the ratio QM:MT using the vector method .
Let ABCD be a p[arallelogram whose diagonals intersect at P and let O be the origin. Then prove that OA+OB+OC+OD=4OP˙