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The magnitude of the cross product of two vectors $\mathbf{a}$ and $\mathbf{b}$ with angle $\theta$ between them is $|\mathbf{a}||\mathbf{b}|\sin \theta$. Geometrically, this value represents the area of the parallelogram formed by the two vectors.

Conditions: $\mathbf{a}$ and $\mathbf{b}$ are three-dimensional vectors.; $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$.

The magnitude of the cross product of two vectors $\mathbf{a}$ and $\mathbf{b}$ with angle $\theta$ between them is $|\mathbf{a}||\mathbf{b}|\sin \theta$. Geometrically, this value represents the area of the parallelogram formed by the two vectors.

Conditions: $\mathbf{a}$ and $\mathbf{b}$ are three-dimensional vectors.; $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$.