How the direction is determined in vectors cross product?
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The direction in vector cross product is determined by the right hand screw rule and the right hand thumb rule.
For example:: When A×B=C, then the direction of C is right angles to the plane having vectors A and B.
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By convention, the direction of the vector n is given by the right-hand rule, where one simply points the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb (see the adjacent picture).
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