Collinear vectors

Any finite number of vetors are said to be collinear if all of them are parallel to the same line or the vector represented by that line. If this not the case then the vectors are said to be non-collinear. Important results: i)If two vectors and are collinear or parallel then or viceversa. ii) If and be any two non-collinear and non zero vectors and x and y be the scalars then i.e. both the scalras must be zero otherwise the sum of non-zero intersecting vectors cannot be zero.