Difference between revisions of "Selftest: Cross product"
From Robotics
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+ The vector <math>\vec{\mathbf{a}}\times\vec{\mathbf{b}}</math> is perpendicular to the plane that is spanned by the vectors <math>\vec{\mathbf{a}}</math> and <math>\vec{\mathbf{b}}</math>. | + The vector <math>\vec{\mathbf{a}}\times\vec{\mathbf{b}}</math> is perpendicular to the plane that is spanned by the vectors <math>\vec{\mathbf{a}}</math> and <math>\vec{\mathbf{b}}</math>. | ||
− | + | + The magnitude of the cross product equals the area of the parallelogram that is spanned by the vectors <math>\vec{\mathbf{a}}</math> and <math>\vec{\mathbf{b}}</math>. | |
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+ The vectors <math>\vec{\mathbf{a}}</math>, <math>\vec{\mathbf{b}}</math> and <math> \vec{\mathbf{a}}\times\vec{\mathbf{b}}</math> form a rectangular coordinate system. So they are arranged as thumb, middle finger and forefinger of the right hand. | + The vectors <math>\vec{\mathbf{a}}</math>, <math>\vec{\mathbf{b}}</math> and <math> \vec{\mathbf{a}}\times\vec{\mathbf{b}}</math> form a rectangular coordinate system. So they are arranged as thumb, middle finger and forefinger of the right hand. | ||
</quiz> | </quiz> |
Revision as of 17:15, 23 May 2014
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