If ` vec a , vec b ,a n d vec c` are non-zero vectors such that ` vec adot vec b= vec adot vec c ,` then find the geometrical relation between the vectors.

Let vec a, vec b, vec c be three non-zero vectors such that [vec with bvec c] = | vec a || vec b || vec c | then

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between.

If vec A , vec B and vec C are non-zero vectors and vec A. vec B=0 and vec B. vec C=0 , then find out the value vec A .vec B

If vec a and vec b are two non-zero vectors such that |vec a xxvec b|=vec a*vec b, then angle between vec a and vec b

If vec a , vec b , vec c are three non coplanar vectors such that vec ddot vec a= vec ddot vec b= vec ddot vec c=0, then show that d is the null vector.

If vec a a n d vec b are two vectors such that vec adot vec b=6, | vec a|=3 a n d | vec b|=4. Write the projection of vec a on vec bdot

Let vec a, vec b and vec c, are non-coplianar vectors such that [(vec a xxvec b) * vec c] = | vec a || vec b || vec c | then

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\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]