1.Find an equation of the plane which passes through the point (2, -7, 1) and is perpendicular to 3x - y -11z =0. 2.Find the distance between the parallel planes 2x - y - z = 5 and -4x + 2y + 2z = 12 3.What is the normal vector of the plane x + y - z = 1?

1.Find an equation of the plane which passes through the point (2, -7, 1) and is perpendicular to 3x - y -11z =0. 2.Find the distance between the parallel planes 2x - y - z = 5 and -4x + 2y + 2z = 12 3.What is the normal vector of the plane x + y - z = 1?

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.Find an equation of the plane which passes through the point (2, -7, 1) and is perpendicular to 3x - y -11z =0.
2.Find the distance between the parallel planes 2x - y - z = 5 and -4x + 2y + 2z = 12
3.What is the normal vector of the plane x + y - z = 1?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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