show that`(vec B timesvec C)*|vec A times(vec B timesvec C)|=0 `

(vec i timesvec j).vec k=

Solve (vec a timesvec a)*vec b

Let vec a,vec b,vec c be three vectors in the xyz space such that vec a times vec b=vec b timesvec c=vec c timesvec a!=0 If A,B,C are points with position vectors vec a,vec b,vec c respectively,then the number of possible positions of the centroid of triangle ABC is (A) 1 (B) 2 (C) 3 (D) 6

vec i*(vec i timesvec i)=

Let vec a,vec b,vec c are three non-zero vectors and vec b is neither perpendicular to vec a nor to vec c and " (vec a timesvec b)timesvec c=vec a times(vec b timesvec c) .Then the angle between vec a and vec c is:

"If [[vec a+vec b,vec b+vec c,vec c+vec a]]=8 then the value of [(vec a timesvec b)(vec b timesvec c)(vec c timesvec a)]^(2)/(|[vec a*vec a,vec a*vec b,vec a*vec c],[vec b*vec a,vec b*vec b,vec b*vec c],[vec c*vec a,vec c*vec b,vec c*vec c]|)=lambda

If vec a+vec b+vec c=vec 0 ,then (1) vec a timesvec b=vec b timesvec c=vec c timesvec a (2) vec a timesvec b=vec c (3) vec a.vec b=vec b.vec c=bar(c).bar a

Let OP,OQ, OR are three edges of a regular tetrahedron of edge length a . If vec p , vec q and vec r are the position vectors of the points P,Q and R & O is the origin then |vec p timesvec q+vec q timesvec r+vec r timesvec p| is equal to

Volume of parallelepiped formed by vectors vec a timesvec b,vec b timesvec c and vec c timesvec a is 36 then find the volume of parallelepiped formed by the vectors vec a,vec b and vec c

If vec A,vec B,vec C are three non-coplanar vectors,then (vec A*(vec B timesvec C))/((vec C timesvec A)*vec B)+(vec B*(vec A timesvec C))/(vec C*(vec A timesvec B))