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

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

The number of distinct real values of

\lambda

for which the vectors

-\lambda^2 \hat{i} + \hat{j} + \hat{k}

\hat{i} - \lambda^2 \hat{j} + \hat{k}

, and

\hat{i} + \hat{j} - \lambda^2 \hat{k}

are coplanar is: (1) 0 (2) 1 (3)

\pm\sqrt{2}

(4) 3