Dot Product Calculator

Published on: March 8, 2026
Final Answer: Free • Full Steps: Pro

This Dot Product Calculator helps you find the dot product of two 3D vectors. Multiply the corresponding components, then add those products together to get the final scalar value. This follows the dot product 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. Use the dot product formula A · B = a₁b₁ + a₂b₂ + a₃b₃.
  3. Substitute values, multiply, and add.

Formula:

\(\vec{A} \cdot \vec{B} = a_{1}b_{1} + a_{2}b_{2} + a_{3}b_{3}\)