Cross Product (Vector Product)

Multiplying two vectors to get a new vector, perpendicular to both.

Cross Product

$$\vec{a} \times \vec{b} = |\vec{a}||\vec{b}|\sin\theta \, \hat{n}$$

The result is a vector perpendicular to both $\vec{a}$ and $\vec{b}$. The magnitude $|\vec{a} \times \vec{b}|$ also gives the area of the parallelogram formed by the two vectors.

Lesson 25 of 32
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