Vector Addition Calculator

Published on: February 1, 2026
Final Answer: Free • Full Steps: Pro

This Vector Addition Calculator helps you add two 3D vectors by combining their corresponding components. Add the x-components, y-components, and z-components separately, then write the results together as a new vector. This follows the vector addition rule used in coordinate geometry and vector algebra. It is a simple way to check answers, understand the method clearly, and practise vector operations step by step.

Step-by-step method

  1. Identify the components of A and B.
  2. Write the component-wise addition rule.
  3. Substitute the components into the rule.
  4. Add corresponding components to get the result.

Formula:

\(\vec{A} + \vec{B} = \left\langle a_{1} + b_{1},\; a_{2} + b_{2},\; a_{3} + b_{3} \right\rangle\)