question_answer

If a, b, c are non-collinear vectors such that for some scalars x, y, z, \[x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=\mathbf{0},\] then                  [RPET 2002]

A) \[x=0,\,\,y=0,\,\,z=0\]

B) \[x\ne 0,\,\,y\ne 0,\,\,z=0\]

C) \[x=0,\,\,y\ne 0,\,\,z\ne 0\]    

D) \[x\ne 0,\,\,y\ne 0,\,\,z\ne 0\]