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Question: The distance of point (1, –2, 3) from the plane x – y + z – 5= 0 measured parallel to <img src="http...

The distance of point (1, –2, 3) from the plane x – y + z – 5= 0 measured parallel to = = z16\frac { z - 1 } { - 6 } is –

A

1

B

2

C

0

D

–3

Answer

1

Explanation

Solution

A point on the line || to given line & passing through given point is (2r + 1, 3r – 2, – 6r + 3).

This point lies on the plane for r = 17\frac { 1 } { 7 } ,

so the desired distance = 1.