Calculator service 2 (Cross Product Calculator)
Cross Product Calculator
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| Cross Product Calculator |
Definition of the Cross Product Calculator
The vector or Cross Product Calculator of two vectors is written as AxB and reads "A cross B." It is defined to be a third vector C such that AxB=C, where the magnitude of C is
C =|C|=ABsinθ
and the direction of C is perpendicular to both A and B in a right-handed. θ is the smaller angle between A and B and the direction of C is found by the following rule. Extend the fingers of your right hand along with A and then curl them toward B as if you were rotating A through θ. Your thumb will then point in the direction of C. The vector product BxA has a magnitude BAsinθ but its direction, found by rotating B into A through θ, is opposite to that of C. Therefore,
BxA=-C=-(AxB) and the commutative law does not hold for the Cross Product Calculator.
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