Difference between revisions of "Selftest: Cross product"
From Robotics
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||The magnitude of the cross product results from the following equation: <math>\vec{\mathbf{a}}\times\vec{\mathbf{b}}=\vec{\mathbf{c}}\text{ with}\left|\vec{\mathbf{c}}\right|= ab\sin\alpha</math>. Here the angle is 180° and the related sine is zero. So the result is 0. | ||The magnitude of the cross product results from the following equation: <math>\vec{\mathbf{a}}\times\vec{\mathbf{b}}=\vec{\mathbf{c}}\text{ with}\left|\vec{\mathbf{c}}\right|= ab\sin\alpha</math>. Here the angle is 180° and the related sine is zero. So the result is 0. | ||
− | {'''Please mark the right transforms: (x,y,z are coordinate axes, a and b are arbitrary''' } | + | {'''Please mark the right transforms: (x,y,z are coordinate axes, a and b are arbitrary)''' } |
+ <math>\vec{\mathbf{b}} \times \vec{\mathbf{a}}=-(\vec{\mathbf{a}}\times \vec{\mathbf{b}})</math> | + <math>\vec{\mathbf{b}} \times \vec{\mathbf{a}}=-(\vec{\mathbf{a}}\times \vec{\mathbf{b}})</math> | ||
+ <math>\vec{\mathbf{y}}\times\vec{\mathbf{x}}=-\vec{\mathbf{z}} </math> | + <math>\vec{\mathbf{y}}\times\vec{\mathbf{x}}=-\vec{\mathbf{z}} </math> |
Revision as of 14:16, 18 June 2014
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