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# Orthonormal Basis

LINALG-ZHGTF8

Which of the following is an orthonormal basis for $R^3$?

A

$\{ (1,1,0), (1,0,1), (0,1,1) \}$

B

$\{(2,0,0),(0,2,0),(0,0,2) \}$

C

$\{ (1,0,0), (0,1,0), (\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0) \}$

D

$\{ (\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0), (\frac{1}{\sqrt{6}}, \frac{-1}{\sqrt{6}}, \frac{\sqrt{2}}{\sqrt{3}}), (\frac{-1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}) \}$

E

$\{ (1,0,0),(0,1,0),(0,1,1) \}$