Find the distance between the point with position vector and the point of…

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

Problem

Find the distance between the point with position vector

-\hat{i} - 5\hat{j} - 10\hat{k}

and the point of intersection of the line

\frac{x-2}{3} = \frac{y+1}{4} = \frac{z-2}{12}

with the plane

x - y + z = 5