If are non-coplanar vectors and is a real number

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

Problem

\mathbf{a}, \mathbf{b}, \mathbf{c}

are non-coplanar vectors and

\lambda

is a real number, then

[\lambda(\mathbf{a} + \mathbf{b}) \quad \lambda^2\mathbf{b} \quad \lambda\mathbf{c}] = [\mathbf{a} \quad \mathbf{b} + \mathbf{c} \quad \mathbf{b}]

(1) exactly two values of

\lambda

(2) exactly three values of

\lambda

(3) no value of

\lambda

(4) exactly one value of

\lambda