Given two vectors and

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

Problem

Given two vectors

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

and

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

. Match the Column I with Column II and mark the correct option from the codes given below.

Column I	Column II
A. A vector coplanar with $\mathbf{a}$ and $\mathbf{b}$	p. $-3\hat{i} + 3\hat{j} + 4\hat{k}$
B. A vector which is perpendicular to both $\mathbf{a}$ and $\mathbf{b}$	q. $2\hat{i} - 2\hat{j} + 3\hat{k}$
C. A vector which is equally inclined to $\mathbf{a}$ and $\mathbf{b}$	r. $\hat{i} + \hat{j}$
D. A vector which forms a triangle with $\mathbf{a}$ and $\mathbf{b}$	s. $\hat{i} - \hat{j} + 5\hat{k}$