   Chapter 12.5, Problem 5PT

Chapter
Section
Textbook Problem

The distance from (1, 2, 1) to the plane 6x + 5y + 8z = 34 is: a) 5 b) 2 5 c) 2 5 d) 1 5

To determine

The appropriate option for the statement “The distance from (1,2,1) to the plane 6x+5y+8z=34 is:” from the given options.

Explanation

Formula used:

The distance from a point P(x0,y0,z0) to a plane ax+by+cz=d is |ax0+by0+cz0d|a2+b2+c2.

Calculation:

Given point is (1,2,1) and the plane is 6x+5y+8z=34.

The distance from (1,2,1) to the plane 6x+5y+8z=34 is calculated as follows

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