Answered: 1.Determine whether the planes x - 4y -…

1.Determine whether the planes x - 4y - 3z - 2 = 0 and 3x - 12y -9z - 7 = 0 are parallel 2.Determine whether the planes x - 2y + 3z = 4 and -2x + 5y +4z = -1 are perpendicular.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 74E

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Question

1.Determine whether the planes x - 4y - 3z - 2 = 0 and 3x - 12y -9z - 7 = 0 are parallel
2.Determine whether the planes x - 2y + 3z = 4 and -2x + 5y +4z = -1 are perpendicular.
3.Let u = (-4, 3) and v = (6, -1). What is the orthogonal projection of u onto v
4.Let u = (3, 1, -7) and v = (1, 0, 5). What is the orthogonal projection of u onto v

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