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

Question

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

Sure, here are the steps to find the equation of the plane passing through the points (1,-2,-1), (-2,3,-3), and (2,0,3).

Step 1: Find two vectors that are in the plane. Vector AB = B - A = (-2-1, 3-(-2), -3-(-1)) = (-3, 5, -2) Vector AC = C - A = (2-1, 0-(-2), 3-(-1)) = (1, 2, 4)

Step 2: Find the 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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