Problems For Problems 10-12, show that the given set of vectors is an orthogonal set in ℂ n , and hence obtain an orthonormal set of vectors in ℂ n in each case. { ( 2 + i , − 5 i ) , ( − 2 − i , − i ) }
Problems For Problems 10-12, show that the given set of vectors is an orthogonal set in ℂ n , and hence obtain an orthonormal set of vectors in ℂ n in each case. { ( 2 + i , − 5 i ) , ( − 2 − i , − i ) }
Solution Summary: The author explains that the given set of vectors is an orthogonal set in Cn and hence obtain a orthonormal set.
For Problems 10-12, show that the given set of vectors is an orthogonal set in
ℂ
n
, and hence obtain an orthonormal set of vectors in
ℂ
n
in each case.
{
(
2
+
i
,
−
5
i
)
,
(
−
2
−
i
,
−
i
)
}
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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