Question
Find the distance of the point (- 2, 3, - 4) from the line 
measured parallel to the plane 4 x + 12 y - 3z + 1 = 0.
Solution
The equations of given line are
or
Any point Q on this line is
Let given point be P(– 2, 3, – 4). Direction ratios of PQ are
Since PQ is parallel to the plane
∴ required length = PQ
or
Any point Q on this line is
Let given point be P(– 2, 3, – 4). Direction ratios of PQ are
Since PQ is parallel to the plane
∴ required length = PQ
