Vector Product (cross product) and "right-hand timing"

Two VectorsAAndBCross-product WritingA×B(Sometimes writtenABytesB, Avoid and letterXObfuscation ). Cross product can be defined:

Here θ representsAAndBThe angle between them (0 ° ≤ θ ≤ 180 °), which is located on the plane defined by the two vectors. WhileNIsAAndBVertical unit vector.

This definition has a problem:TwoUnit vectors are perpendicularAAndB: IfNIf vertical conditions are met-NYes.

The "correct" vector consists of the Vector SpaceDirectionOK, that is, according to the given Cartesian coordinate system (I,J,K)Right-hand timing. If (I,J,K) If the right-hand rule is met, then (A,B,A×BOr both of them are left-handed.

A simple method to determine the direction of the result vector that satisfies the "right-hand determination" is as follows: if the coordinate system meets the right-hand determination, when the right-hand four fingersATurn at a corner of no more than 180 degreesBThe thumbs up pointsC. Because the cross product of a vector is determined by the coordinate system, the result is calledPseudo Vector.