Linear Algebra

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Inner Product Space: Orthonormal Distance

LINALG-HOEYJJ

Let $V$ be an inner product space and let $\{\boldsymbol{u},\ \boldsymbol{v}\}$ be an orthonormal set in $V$.

Compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$0$

B

$1$

C

$\sqrt{2}$

D

$\sqrt{3}$

E

$2$

F

$\sqrt{5}$

G

$\sqrt{6}$

H

Cannot be determined with the provided information.