If `vec a + vec b + vec c=0` then `vec a xx vec b=`

The contrapositive of the statement " If vec a = vec 0 or vec b = vec 0 then vec a xx vec b = vec 0 " is

The inverse of the statement " If vec a = vec = 0 or vec b =vec 0 then vec a xx vec b =vec 0 is

If vec a + 2 vec b + 3 vec c = vec 0 , then (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)

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 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

Prove that if the vectors vec a, vec b, vec c satisfy vec a+ vec b + vec c = vec 0 , then vec bxx vec c = vec c xx vec a = vec a xx vec b

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