3D Vector Dot Product Calculator
Enter the x, y and z components of two 3D vectors to calculate their dot product.
3D Vector Dot Product Calculator
Calculate the dot product of two 3D vectors from their x, y and z components.
This calculator provides an estimate for general informational purposes only. It is not a substitute for professional financial, mechanical or engineering advice.
The dot product multiplies corresponding components of two vectors and sums the results, producing a single number that reflects both vectors' magnitudes and the angle between them.
Example
- With the default values shown above, this calculator returns: Dot Product (A · B) ≈ 56.00.
Frequently Asked Questions
What is the formula?
A · B = (Ax×Bx) + (Ay×By) + (Az×Bz).
What does the dot product tell you?
The dot product relates to the angle between two vectors: a positive result means the vectors point in generally the same direction, a negative result means opposite directions, and zero means they're perpendicular.
What if I have 2D vectors?
Enter 0 for the z-component of both vectors, and the formula reduces automatically to the 2D dot product.