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.
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