Assertion: and are parallel vectors

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

Problem

Assertion:

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

and

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

are parallel vectors, if

p = \frac{3}{2}

and

q = 4

. Reason:

\mathbf{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}

and

\mathbf{b} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}

are parallel

\frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3}