Magnitude of a Vector Calculator

Published on: February 22, 2026
Final Answer: Free • Full Steps: Pro

This Magnitude of a Vector Calculator helps you find the length of a 3D vector. Square each component of the vector, add the results, and then take the square root to get the final value. This follows the magnitude formula 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 vector components.
  2. Write the magnitude formula.
  3. Substitute and compute inside the square root.
  4. Simplify the square root (if possible).

Formula:

\(\left|\vec{A}\right| = \sqrt{a_{1}^{2} + a_{2}^{2} + a_{3}^{2}}\)