Unit Vector Calculator

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

This Unit Vector Calculator helps you find the unit vector in the direction of a 3D vector. First find the magnitude of the vector, then divide each component by that magnitude to get a vector of length 1. This follows the unit vector 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. Compute the magnitude |A|.
  3. Use  = A / |A| and simplify.

Formula:

\(\hat{A} = \frac{\vec{A}}{\left|\vec{A}\right|}\)