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

Math

Geometry

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 13AEXP

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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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