Vector Dot Product Calculator
Calculate the dot product of two vectors in 3D space
About this calculator
The Vector Dot Product Calculator computes the dot product (scalar product) of two vectors in three-dimensional space. This mathematical operation is essential in physics, engineering, and computer graphics for calculating work done by forces, finding angles between vectors, determining orthogonality, and solving projection problems. The dot product formula multiplies corresponding components of two vectors and sums the results, producing a scalar value that reveals important geometric relationships between the vectors.
How to use
Enter the x, y, and z components of your first vector in the designated input fields. Then input the corresponding x, y, and z components of your second vector. Click the calculate button to instantly compute the dot product result, which will be displayed as a single scalar value.
Frequently asked questions
What does a zero dot product mean?
A zero dot product indicates that the two vectors are perpendicular (orthogonal) to each other, forming a 90-degree angle in 3D space.
Can the dot product be negative?
Yes, a negative dot product means the angle between the vectors is greater than 90 degrees, indicating they point in generally opposite directions.
How is dot product different from cross product?
Dot product yields a scalar value representing magnitude and directional relationship, while cross product produces a vector perpendicular to both input vectors.