Mathematics

Problem

If vector

\vec{a} = 3\hat{i} + 2\hat{j} - \hat{k}

and vector

\vec{b} = \hat{i} - \hat{j} + \hat{k}

, then which of the following is correct ? (A)

\vec{a} \parallel \vec{b}

(B)

\vec{a} \perp \vec{b}

(C)

|\vec{b}| > |\vec{a}|

(D)

|\vec{a}| = |\vec{b}|