Angle Between Two Vectors Calculator

About the Angle Between Two Vectors Calculator

The angle between two vectors can be found from the dot product formula, which relates the dot product to the product of the vectors' magnitudes and the cosine of the angle between them.

Formula: cos(θ) = (v₁ · v₂) ÷ (|v₁| |v₂|), so θ = arccos((v₁ · v₂) ÷ (|v₁| |v₂|))

Set the z-values to 0 to treat the vectors as two-dimensional. This calculation is fundamental in physics for work and torque, and in computer graphics for lighting and collision angles.