Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 4 - Vector Spaces - 4.1 Vectors in Rn - True-False Review - Page 251: h

Answer

True

Work Step by Step

We know that subtraction of geometric vectors is the same as addition of geometric vectors of opposite sign. By using this example, it is true to say that the parallelogram whose sides are determined by vectors $x$ and $y$ in $R^2$ have diagonals determined by the vectors $x + y$ and $x − y$.
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