The number of distinct real values of for which the vectors ,

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

Problem

The number of distinct real values of

\lambda

for which the vectors

\lambda^2\mathbf{i}+\mathbf{k}

\mathbf{i}-\lambda^2\mathbf{j}

, and

\mathbf{i}+(\lambda-\lambda^2)\mathbf{j}-\lambda\mathbf{k}

are coplanar is (1)

0

(2)

1

(3)

2

(4)

3