What is the meaning of \vec{A} \times \vec{B}_\bot in vector notation?

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The notation \(\vec{A} \times \vec{B}_\bot\) refers to the cross product of vectors \(\vec{A} = (A1, A2, A3)\) and \(\vec{B} = (B1, B2, B3)\), followed by a projection of the resulting vector onto a plane that is perpendicular to another vector. This operation involves calculating the cross product first and then determining the component of that result that is orthogonal to a specified reference vector. Understanding this notation is crucial for applications in physics and engineering where vector projections are common.

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coffekreizy
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If A=(A1,A2,A3) and B=(B1,B2,B3), WHAT does this notation mean? :

(\vec{A} \times \vec{B})_\bot
 
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Presumably that means to take the cross product of A and B, and then project out the part that is perpendicular to something.
 

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