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Outline
Orthogonality
Airplane with attitude indicator and compass
Duck reflections
Reflection in a line
Plane reflection reverses orientation
Line reflection in three dimensions preserves orientation
Point reflection in three dimensions reverses orientation
Gram-Schmidt
Constuct the orthogonal projection
Orthogonal components of a vector in 3D
Orthogonal components of a vector
The axis of a rotation
Foci of a hyperbola
Orthogonality
Author:
Jonathan Holland
Airplane with attitude indicator and compass
Duck reflections
Reflection in a line
Plane reflection reverses orientation
Line reflection in three dimensions preserves orientation
Point reflection in three dimensions reverses orientation
Gram-Schmidt
Constuct the orthogonal projection
Orthogonal components of a vector in 3D
Orthogonal components of a vector
The axis of a rotation
Foci of a hyperbola
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