Vector Operations Calculator

Vector operations calculators handle 2D and 3D vector mathematics: addition, subtraction, scalar multiplication, dot product, cross product, and magnitude. Use this calculator for accurate, instant results.

The calculator uses the standard published formula for vector operations. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

Enter values in the units shown in each input field. The calculator displays results in standard units and shows the calculation steps.

The core formula is: Addition: a + b = (a₁+b₁, a₂+b₂, a₃+b₃). Each step in the calculation is shown so you can verify the result manually.