In C [ − π , π ] with inner product defined by (6), show that cos m x and sin n x are orthogonal and that both are unit vectors. Determine the distance between the two vectors.
In C [ − π , π ] with inner product defined by (6), show that cos m x and sin n x are orthogonal and that both are unit vectors. Determine the distance between the two vectors.
Solution Summary: The author explains that the given vectors are orthogonal and they are unit-vectors. They calculate the distance between them.
In
C
[
−
π
,
π
]
with inner product defined by (6), show that
cos
m
x
and
sin
n
x
are orthogonal and that both are unit vectors. Determine the distance between the two vectors.
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.
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
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