True-False Review For Questions (a)-(g), decide if the given statement is true or false , and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. If v and w are linearly independent vectors in an inner product space V , then 〈 v , w 〉 = 0 .
True-False Review For Questions (a)-(g), decide if the given statement is true or false , and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. If v and w are linearly independent vectors in an inner product space V , then 〈 v , w 〉 = 0 .
For Questions (a)-(g), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.
If
v
and
w
are linearly independent vectors in an inner product space
V
, then
〈
v
,
w
〉
=
0
.
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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