Quiz 6

Question 1

Indicate which of the following sets are Orthonormal Basis (ONB) Sets

B = {x, y}, x = {1, 0}, y = {0, 4}

B = {x, y}, x = {1, 0}, y = {0, 1}

B = {x, y}, x = {\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}}, y = {\frac{- 1}{\sqrt{2}}, \frac{- 1}{\sqrt{2}}}

B = {x, y}, x = {\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}}, y = {\frac{- 1}{\sqrt{2}}, \frac{1}{\sqrt{2}}}

B = {x, y}, x = {\cos 30^{\circ}, \sin 30^{\circ}}, y = {- \cos 30^{\circ}, \sin 30^{\circ}}

B = {x, y, z}, x = {1, 0, 0}, y = {0, 4, 0}, z = {0, 0, 1}

B = {x, y, z}, x = {\frac{1}{\sqrt{2}}, 0, \frac{- 1}{\sqrt{2}}}, y = {0, 1, 0}, z = {\frac{- 1}{\sqrt{2}}, 0, \frac{- 1}{\sqrt{2}}}