Vector Applications

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The area of triangle with adjacent sides represented by vectors a⃗ and b⃗ is

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1. **Geometry Connection**: The area of a parallelogram with sides $\vec{a}$ and $\vec{b}$ is $|\vec{a} 	imes \vec{b}|$.
2. **Triangle Relation**: A triangle formed by these two vectors as adjacent sides is exactly half of that parallelogram.
3. **Result**: Area $= \frac{1}{2} |\vec{a} 	imes \vec{b}|$.

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