Let and . Define , where . Find all real values of for which the area of the…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{a}=2\hat{i}-\hat{j}+\hat{k}

and

\mathbf{b}=\hat{i}+3\hat{j}-2\hat{k}

. Define

\mathbf{c}=\mathbf{a}+t\mathbf{b}

, where

t\in\mathbb{R}

. Find all real values of

t

for which the area of the parallelogram having

\mathbf{a}

and

\mathbf{c}

as adjacent sides is

10

square units.