" If "vec a=mvec b+vec c," the scalar "m" is "

If veca=m vecb+vec c , find the scalar m.

If vec(a)=m vec(b)+vec(c ) . The scalar m is

Prove that a necessary and sufficient condition for three vectors vec a,vec b and vec c to be coplanar is that there exist scalars l,m,n not all zero simultaneously such that lvec a+mvec b+nvec c=vec 0

Prove that a necessary and sufficient condition for three vectors vec a , vec b and vec c to be coplanar is that there exist scalars l , m , n not all zero simultaneously such that l vec a+m vec b+n vec c= vec0dot

Prove that a necessary and sufficient condition for three vectors vec a , vec b and vec c to be coplanar is that there exist scalars l , m , n not all zero simultaneously such that l vec a+m vec b+n vec c= vec0dot

If quad vec r=l(vec b xxvec c)+m(vec c xxvec a)+n(vec a xxvec b) and [vec a,vec b,vec c]=2, then l+m+n is equal to

The scalars l and m such that l vec a+m vec b= vec c ,where vec a , vec b and vec c are given vectors, are equal to

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.