Vector Dot Product Calculator
Calculate the 3D vector dot product, magnitudes, and angle between two vectors. Free scalar product calculator.
Parameters
Enter the required details below
Ready to Calculate
Enter your parameters and click calculate to see the results here.
How to Use
- Enter Vector 1 X.
- Enter Vector 1 Y.
- Enter Vector 1 Z.
- Click Calculate to see Dot Product, Angle Between Vectors, Magnitude 1 and Magnitude 2.
- Check the result. Use Reset if you want to try different numbers.
About This Calculator
The dot product (scalar product) of two vectors is aΒ·b = axbx + ayby + azbz. This calculator also returns each magnitude and the angle between the vectors when they are non-zero.
Dot product and angle
a Β· b = axbx + ayby + azbz; ΞΈ = arccos((a Β· b) / (|a||b|))
a = (1, 2, 3), b = (4, β5, 6) β 12; angle from the inverse cosine of 12 / (|a||b|).
Frequently asked questions
How do you calculate a dot product?+
Multiply corresponding components and add: axbx + ayby + azbz. A result of 0 means the vectors are perpendicular (if neither is the zero vector).
What is the difference between dot product and cross product?+
The dot product is a scalar and relates to the angle between vectors. The cross product is a vector perpendicular to both inputs. Use the related cross product tool for that.
Is Vector Dot Product Calculator free to use?+
Yes. Vector Dot Product Calculator is free and does not require an account. The calculation runs in your browser.