" If "vec a+vec b+vec c=0," show that "vec a timesvec b=vec b timesvec c=vec c timesvec a." Interpret the result geometrically? "

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

vec i*(vec i timesvec i)=

(vec i timesvec j).vec k=

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

Solve (vec a timesvec a)*vec b

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

Prove that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b) and interpret it geometrically.

Prove that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b) and interpret it geometrically.

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