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Two vectors u and v are orthogonal if <math>u*v=0</math>, where u*v denotes the [[inner product]] of the two vectors. They are orthonormal if they both are also unit vectors (<math>u*u=1</math> and <math>v*v=1</math>) | Two vectors u and v are orthogonal if <math>u*v=0</math>, where u*v denotes the [[inner product]] of the two vectors. They are orthonormal if they both are also unit vectors (<math>u*u=1</math> and <math>v*v=1</math>) | ||
Note that the [[zero vector]] is orthogonal to every vector. | Note that the [[zero vector]] is orthogonal to every vector. | ||
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[[Category:MA351]] | [[Category:MA351]] | ||
Latest revision as of 05:55, 18 August 2010
When are vectors orthogonal?
Two vectors u and v are orthogonal if $ u*v=0 $, where u*v denotes the inner product of the two vectors. They are orthonormal if they both are also unit vectors ($ u*u=1 $ and $ v*v=1 $)
Note that the zero vector is orthogonal to every vector.
