| Cross Product |
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Information AboutCross Product |
| CATEGORIES ABOUT CROSS PRODUCT | |
| abstract algebra | |
| linear algebra | |
| binary operations | |
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DEFINITION The cross product of the two vectors a and '''b''' is denoted by a × '''b''' (in longhand some mathematicians write a∧'''b''' to avoid confusion with the letter '''x''' - this should not be confused with the Logical "and" Operator , ). It is defined as the vector which is Perpendicular to both a and '''b''' with a magnitude equal to the area of the Parallelogram they span. The corresponding formula is | ||
| :<math> V | \mathbf{a}\cdot(\mathbf{b} imes \mathbf{c}) </math> |
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| :<math> a Imes B^2 + a \cdot B^2 | a^2 b^2</math> |
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| This Is A Special Case Of The Multiplicativity <math>vw | v w</math> of the norm in the Quaternion algebra |
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