If O be the origin the vector `vec(OP)` is called the position vector of point P. Also `vec(AB)=vec(OB)-vec(OA)`. Three points are said to be collinear if they lie on the same stasighat line.Points A,B,C are collinear if one of them divides the line segment joining the others two in some ratio. Also points A,B,C are collinear if and only if `vec(AB)xxvec(AC)=vec0` Let the points A,B, and C having position vectors `veca,vecb and vecc` be collinear Now answer the following queston: The exists scalars x,y,z such that (A) `xveca+yvecb+zcvecc=0 and x+y+z!=0` (B) `xveca+yvecb+zcvecc!=0 and x+y+z!=0` (C) `xveca+yvecb+zvecc=0 and x+y+z=0` (D) none of these