cross product

Question

The magnitude of cross product of two vectors a⃗ and b⃗ is

RankGuru · Accepted Answer

1. **Vector Product Concept**: The cross product $\vec{a} 	imes \vec{b}$ results in a vector perpendicular to both.
2. **Magnitude Formula**: $|\vec{a} 	imes \vec{b}| = |\vec{a}| |\vec{b}| \sin 	heta$.
3. **Area Connection**: This magnitude is equal to the **area of the parallelogram** spanned by the two vectors.

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