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| + | ! colspan="2" style="background: #bbb; font-size: 110%;" | Vector Identities and Operator Definitions | ||
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! colspan="2" style="background: #eee;" | Vector Identities | ! colspan="2" style="background: #eee;" | Vector Identities | ||
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Revision as of 06:31, 29 October 2009
| Vector Identities and Operator Definitions | |
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| Vector Identities | |
| place note here | $ \bold{x}\cdot \left(\bold{y}\times \bold{z}\right)= \left(\bold{x}\times \bold{y}\right)\cdot \bold{z} $ |
| place note here | $ \bold{x}\times \left(\bold{y}\times \bold{z} \right)=\bold{y}\left(\bold{x} \cdot \bold{z} \right)-\bold{z} \left( \bold{x}\cdot\bold{y}\right) $ |
| Vector Operators in Rectangular Coordinates | |
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| place note here | $ \nabla f(x,y,z) = \bold{e}_1 \frac{\partial f}{\partial x}+\bold{e}_2 \frac{\partial f}{\partial y}+\bold{e}_3 \frac{\partial f}{\partial z} $ |
| Vector Operators in Spherical Coordinates | |
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| place note here | $ \nabla f(x,y,z) = $ |
| Vector Operators in Cylindrical Coordinates | |
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| place note here | $ \nabla f(x,y,z) = $ |
