If and are two non-collinear vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

\mathbf{a}

and

\mathbf{b}

are two non-collinear vectors and

x\mathbf{a} + y\mathbf{b} = \mathbf{0}

(1)

x = 0

, but

y

is not necessarily zero (2)

y = 0

, but

x

is not necessarily zero (3)

x = 0, y = 0

(4) None of the above