A line passes through and is perpendicular to the lines and ; obtain its equation.

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A line passes through

(2, -1, 3)

and is perpendicular to the lines

\mathbf{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(2\hat{i} - 2\hat{j} + \hat{k})

and

\mathbf{r} = (2\hat{i} - \hat{j} - 3\hat{k}) + \mu(\hat{i} + 2\hat{j} + 2\hat{k})

; obtain its equation.