Line-Line Angle

The angle between two lines is equal to the acute angle determined by the direction vectors of the lines.

Formula of the Angle between Two Lines

Two lines are perpendicular if the direction vectors are orthogonal.

Perpendicular Lines


Examples

Calculate the angle between the following lines:

1. Angle between Lines Example

Calculating the Angle between Lines

Calculating the Angle between Lines

Angle between Lines Solution


2. Angle between Lines Example

Calculating the Angle between Lines

Direction Vectors

Calculating the Angle between Lines

Angle between Lines Solution


3. Angle between Lines Example

Vector Product

Direction Vectors

Calculating the Angle between Lines

Angle between Lines Solution