Question

Find the distance of the point (1, 0, – 3) from the plane x – y – z = 9 measured parallel to the line (x – 2)/2 = (y + 2)/3 = (6 – z)/6.

Answer 1

The equation of any line passing through (1, 0, –3) and parallel to

Thus, the point P is (3, 3, – 9).

Hence, the required distance