Angle for Parallel Vectors

Angle for Parallel Vectors

For vectors in the same direction:

$$\theta=0^\circ$$

and:

$$\vec a\cdot\vec b=|\vec a||\vec b|$$

For opposite directions:

$$\theta=180^\circ$$

and:

$$\vec a\cdot\vec b=-|\vec a||\vec b|$$

Usage

- Used to identify parallel and anti-parallel vectors through their dot product.

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