[" 11.If "vec a,vec b,vec c" are three vectors and "vec a+vec b+vec c=0" ,prove that "],[vec a timesvec b times=vec b timesvec c=vec c timesvec a]

If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec 0, then prove that vec a xxvec b=vec b xxvec c=vec c xxvec a

If veca , vec b , vec c are three vectors such that veca+ vec b+ vec c= vec0 , then prove that vec axx vec b= vec bxx vec c= vec cxx vec a

Prove that (vec B timesvec c)*[vec A times(vec B timesvec C)]=0

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

If vec a+vec b+vec c=0 , prove that (vec a xx vec b)=(vec b xx vec c)=(vec c xx vec a)

For any three vectors veca, vec b, vec c prove that (vec a + vec b)+ vec c = vec a + (vec b + vec c)

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

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

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:

Solve (vec a timesvec a)*vec b