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Determine the equation of the plane in the form z=f(xy) that passes through the points ...

Question:

Determine the equation of the plane in the form {eq}z=f(xy) {/eq} that passes through the points{eq}P(5,10,-9), \;Q(-1,-4,-10) {/eq} and {eq}R(4,-4,10) {/eq}.

Planes:

To find the equation of a plane we need a normal vector of the plane and a point on the plane. We use the cross product of two vectors parallel to the plane to find the plane's normal vector.

Answer and Explanation:

Given three points {eq}P( 5, \, 10 , \, -9 ), \; Q( -1, \, -4 , \, -10 ), \; R( 4, \, -4 , \, 10 ) {/eq}, we find two vectors connecting two pairs...

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Lines & Planes in 3D-Space: Definition, Formula & Examples

from GRE Math: Study Guide & Test Prep

Chapter 13 / Lesson 6
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