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Show that there are infinitely many vectors in R^3 with Euclidean inner product with (1,-2,4)is zero

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 45EQ

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Question

Show that there are infinitely many vectors in R^3 with Euclidean inner product with (1,-2,4)is zero

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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