Answer
See answers below
Work Step by Step
We are given:
$v=(1,-2)\\
w=(2,1)$
a) Using the inner product (5.1.14) in Problem 18, we have:
$=2.1.2+1.1+(-2).2+2.(-2).1=-3$
b) Using the standard inner product in $R^2$:
$=1.2+(-2).1=2-2=0$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 5 - Inner Product Spaces - 5.1 Definition of an Inner Product Space - Problems - Page 351: 21
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