Equation of a Line Through a Point with Given Normal

Rarely Tested

Equation of a Line Through a Point with Given Normal

## Formula

For a point $$(x_1,y_1)$$ and normal direction $$(\cos\alpha,\sin\alpha)$$:

$$\left(x-x_1\right)\cos\alpha+\left(y-y_1\right)\sin\alpha=0$$

## Usage

- Used to construct a line whose normal direction is known.

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