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cross product SUBST

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Perhaps the above are overly-complicated ways to evaluate the triple cross product, but demonstrate different ways to view the expression.
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Because the cross product may also be a (true) vector, it may not change direction with a mirror image transformation.
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This leads to widespread use in physics, wherever the cross product occurs.
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Other examples of pseudovectors include magnetic field, torque, or more generally any cross product of two (true) vectors.
en.wikipedia.org
This may help you to remember the correct cross product formula.
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The cross product and triple product in three dimensions each admit both geometric and algebraic interpretations.
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This condition determines the magnitude of the cross product.
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A similar convention distinguishes between the cross product and the dot product of two vectors.
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The definitions of torque and angular momentum also involve the cross product.
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This can also be used to define the cross product.
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