Cross Product: Right-Hand Rule Explained

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hilarious
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In the cross product, why is vectorA*B=-(vectorB*A)
How does the right-hand rule apply to this formula?
 
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Look at the picture. If you rotate A towards B, the right-hand rule points upwards. If you rotate B towards A, the fingers point the opposite way, so the right-hand rule points downwards.
 
hilarious said:
In the cross product, why is vectorA*B=-(vectorB*A)
Apply the definition of cross product

hilarious said:
How does the right-hand rule apply to this formula?
265px-Right_hand_rule_cross_product.svg.png

What happens to the direction of a x b when you rotate the hand to swap the directions of a and b ?