If v = ( 2 + i , 3 − 2 i , 4 + i ) and w = ( − 1 + i , 1 − 3 i , 3 − i ) , use the standard inner product in ℂ 3 to determine, 〈 v , w 〉 , | | v | | , and | | w | | .
If v = ( 2 + i , 3 − 2 i , 4 + i ) and w = ( − 1 + i , 1 − 3 i , 3 − i ) , use the standard inner product in ℂ 3 to determine, 〈 v , w 〉 , | | v | | , and | | w | | .
Solution Summary: The author explains how to determine the value of langle v,wrangle, based on standard inner products for the given vectors.
If
v
=
(
2
+
i
,
3
−
2
i
,
4
+
i
)
and
w
=
(
−
1
+
i
,
1
−
3
i
,
3
−
i
)
, use the standard inner product in
ℂ
3
to determine,
〈
v
,
w
〉
,
|
|
v
|
|
, and
|
|
w
|
|
.
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