Write down an equation for the plane passing through the points [2,0,0][2,0,0], [−3,3,−2][−3,3,−2], and [2,−1,1][2,−1,1]. For example: x+y+z=1.

Question

Write down an equation for the plane passing through the points [2,0,0][2,0,0], [−3,3,−2][−3,3,−2], and [2,−1,1][2,−1,1]. For example: x+y+z=1.
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Solution 1

The equation of a plane in 3D space is given by the formula:

A(x - x1) + B(y - y1) + C(z - z1) = 0

where (x1, y1, z1) is a point on the plane and (A, B, C) is the normal vector to the plane.

The normal vector can be found by taking the cross product of two vectors that lie in the plane. We can ge Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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