Determinant Condition for Three Lines to Be Parallel

Rarely Tested

Determinant Condition for Three Lines to Be Parallel

## Formula

For three lines:

$$A_ix+B_iy+C_i=0$$

they are parallel if:

$$\frac{A_1}{A_2}=\frac{B_1}{B_2}$$

and:

$$\frac{A_1}{A_3}=\frac{B_1}{B_3}$$

## Usage

- Used to verify that three lines have the same direction.

No related questions available for this formula yet.

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