Transcription of The Intersection of Three Planes - University of Waterloo
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The Intersection of Three Planes - University of Waterloo
The Intersection of Three Planes CEMC and University of Waterloo Page 1 of 8 CEMC and University of Waterloo Page 2 of 8 CEMC and University of Waterloo Page 3 of 8 CEMC and University of Waterloo Page 4 of 8 CEMC and University of Waterloo Page 5 of 8 CEMC and University of Waterloo Page 6 of 8 CEMC and University of Waterloo Page 7 of 8 CEMC and University of Waterloo Page 8 of 8
Find all points of intersection of the following three planes: x + 2y — 4z = 4x — 3y — z — Solution Substitute y = 4, z = 2 into any of (1) , (2), or (3) to solve for x. Choosing (1), we get x + 2y — 4z — 3 + 2(4) — 4(2) 3 3 Therefore, the solution to …
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