Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2), with normal n = (−1, 3, 3) b. through the points (3, 0, 1) and (0, 1, −1), and perpendicular to the plane with equation x-y-z + 1 = 0 c. through the points (1, 2, 1) and (2, 1, 4), and parallel to the x-axis Enter your answer for a), b), and c) into the three text boxes below. Enter the Cartesian equation in the form Ax+By+Cz+D=0 (no spaces, replacing the corresponding letters with the correct parameters) A/ A/ A/

Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2), with normal n = (−1, 3, 3) b. through the points (3, 0, 1) and (0, 1, −1), and perpendicular to the plane with equation x-y-z + 1 = 0 c. through the points (1, 2, 1) and (2, 1, 4), and parallel to the x-axis Enter your answer for a), b), and c) into the three text boxes below. Enter the Cartesian equation in the form Ax+By+Cz+D=0 (no spaces, replacing the corresponding letters with the correct parameters) A/ A/ A/

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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