cross product

Question

If two vectors are parallel, their cross product is

RankGuru · Accepted Answer

1. **Identify Orientation**: Parallel vectors have an angle $	heta = 0^{\circ}$ (same direction) or $180^{\circ}$ (opposite direction).
2. **Check Magnitude**: $|\vec{a} 	imes \vec{b}| = |\vec{a}| |\vec{b}| \sin 	heta$.
3. **Trig Property**: $\sin 0^{\circ} = 0$ and $\sin 180^{\circ} = 0$.
4. **Result**: The magnitude is zero, therefore the result is the **Zero Vector ($\vec{0}$)**.

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cross product

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cross product

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The magnitude of cross product of two vectors a⃗\vec{a}a and b⃗\vec{b}b is

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The magnitude of cross product of two vectors $\vec{a}$ and $\vec{b}$ is