Let , , and . Then, the line of intersection of planes one determined by and other…

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Let

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

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

\mathbf{c} = \hat{i} - \hat{j} + \hat{k}

and

\mathbf{d} = \hat{i} + \hat{j} - \hat{k}

. Then, the line of intersection of planes one determined by

\mathbf{a}, \mathbf{b}

and other determined by

\mathbf{c}, \mathbf{d}

is perpendicular to (1)

X

-axis (2)

Y

-axis (3) both

X

-axis and

Y

-axis (4) both

Y

-axis and

Z

-axis