Answer
See answer below
Work Step by Step
Assume $V$ be an inner product space.
Since $v \in V$ we have
$$(v,0)=\bar{(0,v)}=\bar {(0.0,v)}=\bar {0.(0,v)}=0 $$
Hence, in any inner product space $V, ⟨v, 0⟩ = 0$ for all $v$ in $V$.
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: 29
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