Vector Operations Visualizer
Enter two vectors by components or by magnitude and angle. Choose an operation to see the result visualized on a 2D coordinate plane with full step-by-step calculations.
Vector Diagram
Parameters
Vector A
Vector B
Results
Step-by-Step Calculation
1. Magnitude of A
2. Magnitude of B
3. Vector Addition
4. Resultant Magnitude
Reference Guide
Vector Addition
To add two vectors, add their corresponding components. Graphically you can use the tip-to-tail method or the parallelogram method.
Dot Product
The dot product measures how much two vectors point in the same direction. It equals zero for perpendicular vectors.
Cross Product (2D)
In 2D the cross product gives a single scalar that represents the z-component of the full 3D cross product. Its absolute value equals the area of the parallelogram formed by the two vectors.
Magnitude and Direction
Every 2D vector can be described by its magnitude (length) and the angle it makes with the positive x-axis.
