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Find an equation for the plane consisting of all points that are equidistant from the points (7,...

Question:

Find an equation for the plane consisting of all points that are equidistant from the points {eq}(7, 0, -2) {/eq} and {eq}(9, 12, 0) {/eq}.

The Equation of a Plane:

To solve this problem, we need to compute the midpoint {eq}(P) {/eq} between the given points.

Next, compute the vector formed by the given points is normal {eq}(n) {/eq} to the plane to get the desired solution.

Answer and Explanation:

We are given the points {eq}(7, 0, -2) {/eq} and {eq}(9, 12, 0) {/eq}.

The plane contains the midpoint between the given points :

{eq}P= \left(...

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from PSAT Prep: Tutoring Solution

Chapter 10 / Lesson 13
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