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Dot Product and Angle Bisector
If $$\vec a$$ and $$\vec b$$ have equal magnitudes:
$$|\vec a|=|\vec b|$$
then:
$$|\vec a+\vec b|=2|\vec a|\cos\frac{\theta}{2}$$
Usage
- Useful in problems involving the sum of equal-magnitude vectors.
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Dot Product and Angle Bisector
If $$\vec a$$ and $$\vec b$$ have equal magnitudes:
$$|\vec a|=|\vec b|$$
then:
$$|\vec a+\vec b|=2|\vec a|\cos\frac{\theta}{2}$$
Usage
- Useful in problems involving the sum of equal-magnitude vectors.
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