EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
8th Edition
ISBN: 9780136553632
Author: Blitzer
Publisher: VST
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Chapter 6.5, Problem 7ES
To determine
To calculate: The quotient and remainder of
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1.
vector projection.
Assume, ER1001 and you know the following:
||||=4, 7=-0.5.7.
For each of the following, explicitly compute the value.
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(a)
(b)
(c)
(d)
answer.
Explicitly compute ||y7||. Explain your answer.
Explicitly compute the cosine similarity of and y. Explain your
Explicitly compute (x, y). Explain your answer.
Find the projection of onto y and the projection of onto .
2.
Answer the following questions using vectors u and v.
--0-0-0
=
find the the cosine similarity and the angle between u and v.
འརྒྱ
(a)
(b)
find the scalar projection of u onto v.
(c)
find the projection of u onto v.
(d)
(e)
(f)
find the scalar projection of onto u.
find the projection of u onto u.
find the projection of u onto and the projection of onto . (Hint:
find the inner product and verify the orthogonality)
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