VectorCrossProduct

# VectorCrossProduct - The Vector Cross Product C = A B...

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1 The Vector Cross Product CAB GG G Vector Cross Product sin CA B θ = Magnitude of Vector Cross Product q A B Properties of Cross Product 1. The direction of A B × G G is given by the right-hand rule (RHR). 2. The direction of AB × G G is perpendicular to the plane formed by A B × G G . 3. () A BB A ×= × i j k x y z A B AxB=-(BxA) BxA 4. a) If A G is parallel to B G , then sin 0 0 AB A B × == G G b) If A G is antiparallel to B G , then sin 0 B π × G G 5. A G is perpendicular to B G , then sin 90 A BA B A B = G G 6. ( ) A BC ABAC ×+ = × + × G G G 7. dd B d A A B dt dt dt × + × G G 8. ˆˆ ˆ ˆ ˆ ˆ ˆ , 0, 0 ijkjki ki j ii jj kk

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2 9. ˆˆ () ˆ = ( ) ( ) ( ) , ˆ xy z yz zy xz xy xyz AB A i A j A k B i Bj B k iAB AB jAB BA kAB BA Also
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VectorCrossProduct - The Vector Cross Product C = A B...

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