Magnitude, dot product, 2D cross (scalar), sum, and angle between two 2D vectors.. 2D Vector Calculator is a free online tool from the ToolsRift Math Calculators collection. It runs entirely in your browser — nothing to install, no signup, and your data never leaves your device.
Enter the x and y components of both vectors and the calculator returns their magnitudes, dot product, cross product, sum and angle.
Dot product = x₁x₂ + y₁y₂, the sum of the products of matching components.
A scalar, x₁y₂ − x₂y₁, whose magnitude is the area of the parallelogram the two vectors span.
cos(θ) = (a · b) / (|a| |b|), so θ = arccos of the dot product over the product of magnitudes.