Math Calculators

Vector Addition Calculator

Add two vectors component by component and find the magnitude of the resultant vector.

Resultant x —

Resultant y —

Resultant z —

Resultant magnitude —

About the Vector Addition Calculator

Vectors are added by combining their corresponding components — all the x-components together, all the y-components together, and so on — which is equivalent to placing the vectors tip to tail.

Formula: (x₁, y₁, z₁) + (x₂, y₂, z₂) = (x₁+x₂, y₁+y₂, z₁+z₂) · Magnitude = √(sumX² + sumY² + sumZ²)

Vector addition is fundamental to physics for combining forces, velocities and displacements.