If `vec a xx vec b=vec a xx vec c, vec a !=0`, then

If vec a ,\ vec b ,\ vec c are three vectors such that vec a. vec b= vec a.\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

If vec a ,\ vec b ,\ vec c are three vectors such that vec adot\ vec b= vec adot\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

If vec a xx vec b= vec b xx vec c != vec 0 then which one is true where k is a suitable scalar?

If vec a, vec b, vec c are non coplanar vectors such that, vec b xx vec c = vec a, vec c xx vec a = vec b, vec a xx vec b = vec c , then |vec a + vec b + vec c| =

If vec a xx vec b = vec c and vec b xx vec c = vec a then

(vec b xx vec c) xx (vec c xx vec a ) =

If three vectors vec A, vec B and vec C are such that vec A .vec B =vec A .vec C , vec A xx vec B = vec A xx vec C , vec A!= vec 0 then prove that vec B =vec C .

If [vec b vec c vec d] = 24 and (vec a xx vec b) xx (vec c xx vec d) + (vec a xx vec c) xx (vec d xx vec b) + (vec a xx vec d ) xx (vec b xx vec c) + k vec a = 0 then k is equal to

If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c) , where vec a, vec b and vec c are any three vectors such that vec a. vec b ne 0, vec b . vec c ne 0 , then vec a and vec c are

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)