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Find an equation for the plane consisting of all points that are equidistant from the points (-5,...

Question:

Find an equation for the plane consisting of all points that are equidistant from the points (-5, 4, 3) and (1, 6, 7).

Distance formula and the equation of a plane:

For this problem we need to use the distance formula computing the distance between points {eq}P = (a, b, c) {/eq} and {eq}Q = (x, y, z) {/eq}: {eq}d(P,Q) = \sqrt{ (x-a)^2+(y-b)^2+(z-c)^2 } {/eq}.

The standard equation of a plane is {eq}Ax+By+Cz = D {/eq}.

Answer and Explanation:

For this problem we will use the distance formula.

If {eq}P = (x,y,z) {/eq} is an arbitrary point on the plane that is equidistant from the points...

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How to Find the Distance Between Two Points

from 6th-8th Grade Math: Practice & Review

Chapter 27 / Lesson 5
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