Answered: 1.) Find a vector that is orthogonal to…

Math

Geometry

1.) Find a vector that is orthogonal to both u = (-6, 4, 2) and v = (3, 1, 5)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 4EQ

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Question

1.) Find a vector that is orthogonal to both u = (-6, 4, 2) and v = (3, 1, 5)
2.) Find the volume of the parallelepiped with adjacent sides u = (2, -6, 2), v = (0, 4, -2), and w = (2, 2, -4).
3.) Find the area of the parallelogram with the given vertices: A(1, 2), B(4, 4), C(7, 5), D(4, 3).

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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