$Angle Between Lines$

Angle Between Lines

The angle between two lines from their general equations, their relative position and intersection, with a figure.

The lines are given by A₁x + B₁y + C₁ = 0 and A₂x + B₂y + C₂ = 0.

This calculator finds the angle between two lines from their general equations, determines their relative position and draws them.

cos φ = ^{|A₁A₂ + B₁B₂|}/_{√(A₁² + B₁²) · √(A₂² + B₂²)}

Example. For x − y + 2 = 0 and x + y − 4 = 0: A₁A₂ + B₁B₂ = 1 − 1 = 0, so they are perpendicular and meet at (1, 3).

Comments

No comments yet.

Linked Calculators

$Two Planes Calculator: Angle, Position and Distance$

$Triangle from Coordinates Calculator: Medians, Orthocenter, Circle Centers$

$Vector Basis Calculator: Check and Decompose a Vector$

$Vector Addition and Subtraction Calculator$

$Vector Magnitude Calculator: Length from Coordinates$

$Distance from a Point to a Line and a Plane Calculator$