MCQs of Vector Algebra

Showing 191 to 194 out of 194 Questions

191.

\bar{a} = p \hat{i} - \hat{j} + 8 \hat{k}

and

\bar{b} = 2 \hat{i} + 4 \hat{j} + q \hat{k}

and

(\bar{a} + 3 \bar{b}) \times (3 \bar{a} - \bar{b}) = \bar{0}

, then p - q = _____ .

192.

\bar{a}

\bar{b}

and

\bar{c}

are unit vectors, then the value of

{|\bar{a} - \bar{b}|}^{2} + {|\bar{b} - \bar{c}|}^{2} + {|\bar{c} - \bar{a}|}^{2}

is not more than _____ .

193.

\bar{a} \times \bar{b} = \bar{b} \times \bar{c} \neq \bar{0}

, then for any λ ∈ R, _____ .

194.

If the volume of the parallelopiped formed by

\hat{i} + a \hat{j} + \hat{k}

\hat{j} + a \hat{k}

and

a \hat{i} + \hat{k}

is minimum, then a = _____ .

Showing 191 to 194 out of 194 Questions