Let P₁ = (2, 4, 2), P₂ = (1, -2, 0), P3 = (4,3,0) be points in R³. Find the general equation of the plane P in R³ which contains the points P₁, P₂, and P3. (Use the variables x, y, z in your equation.) Note: Although not necessary, it is suggested that you use the cross-product to answer this question so that you get a bit of practice with computing a cross- product. Check

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 4AEXP
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Let P₁ = (2, 4, 2), P₂ = (1, -2, 0), P3 = (4,3,0) be points in R³.
Find the general equation of the plane P in R³ which contains the points P₁, P₂,
and P3.
(Use the variables x, y, z in your equation.)
Note: Although not necessary, it is suggested that you use the cross-product to
answer this question so that you get a bit of practice with computing a cross-
product.
Check
Transcribed Image Text:Let P₁ = (2, 4, 2), P₂ = (1, -2, 0), P3 = (4,3,0) be points in R³. Find the general equation of the plane P in R³ which contains the points P₁, P₂, and P3. (Use the variables x, y, z in your equation.) Note: Although not necessary, it is suggested that you use the cross-product to answer this question so that you get a bit of practice with computing a cross- product. Check
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