Answered: Consider the points below. P(1, 0, 1),…

Consider the points below. P(1, 0, 1), Q(−2, 1, 3), R(6, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 13EQ: In Exercises 13 and 14, give the vector equation of the plane passing through , and . 13.

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Question

Consider the points below.

P(1, 0, 1), Q(−2, 1, 3), R(6, 2, 5)

(a) Find a nonzero vector orthogonal to the plane through the points

P, Q,

and R.

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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