The cross product of two vectors is a binary operation that produces a vector perpendicular to both. The direction is determined by the right-hand rule, and the magnitude is equal to the area of the parallelogram spanned by the vectors.
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Pro Tips
The cross product is anti-commutative: A × B = -(B × A).
If the cross product is zero, the vectors are parallel.
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Fun Facts
"Used extensively in physics to calculate torque (r × F)."
"Also used in computer graphics to calculate surface normals for lighting."
Formula: A × B = (AyBz - AzBy)i - (AxBz - AzBx)j + (AxBy - AyBx)k
