If ` vec axx vec b= vec bxx vec c!=0,\ ` then show that ` vec a+ vec c=m vec b ,\ w h e r e\ m` is any scalar.

If vec axx vec b= vec bxx vec c!=0 , then show that vec a+ vec c=m vec b , where m is any scalar.

If vec axx vec b= vec cxx vec d\ a n d\ vec axx vec c= vec bxx vec d ,\ show that vec a- vec d is parallel to vec b- vec c , w h e r e\ vec a!= vec d\ a n d\ vec b!= vec c

If vec axx vec b= vec bxx vec c!=0,w h e r e vec a , vec b ,a n d vec c are coplanar vectors, then for some scalar k prove that vec a+ vec c=k vec bdot

If vec axx vec b= vec axx vec c , vec a!= vec0a n d vec b!= vec c , show that vec b= vec c+t vec a for some scalar tdot

If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , then show that vec a- vec d , is paralelto vec b- vec c

If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ,a n d vec c are nonzero vectors, then 1. vec a , vec b ,a n d vec c can be coplanar 2. vec a , vec b ,a n d vec c must be coplanar 3. vec a , vec b ,a n d vec c cannot be coplanar 4.none of these

If | vec axx vec b|=4,\ vec adot vec b =2,\ t h e n\ | vec a|^2| vec b|^2= 6 b. 2 c. 20 d. 8

If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a , vec axx vec b , respectively, show that vec a is parallel to vec qxx vec r , vec b is parallel vec rxx vec p , vec c is parallel to vec pxx vec q .

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

Let vec a , vec b , vec c , be three non-zero vectors. If vec a .(vec bxx vec c)=0 and vec b and vec c are not parallel, then prove that vec a=lambda vec b+mu vec c ,w h e r elambda are some scalars dot