Features
- •2D and 3D vector operations
- •Vector addition and subtraction
- •Dot product calculation
- •Cross product for 3D vectors
- •Vector magnitude computation
- •Angle between vectors
- •Real-time error checking
- •Clear and intuitive interface
- •Comprehensive result display
- •Support for Cartesian coordinates
2D Vector Operations
Enter vector components in Cartesian coordinates
Vector A
Vector B
About Vector Operations
Vectors are mathematical objects that have both magnitude and direction. They are fundamental in physics, engineering, computer graphics, and many other fields.
Key Vector Operations:
- Addition: A + B = (a₁+b₁, a₂+b₂, ...)
- Subtraction: A - B = (a₁-b₁, a₂-b₂, ...)
- Dot Product: A·B = a₁b₁ + a₂b₂ + ... (scalar result)
- Cross Product (3D only): A×B = (a₂b₃-a₃b₂, a₃b₁-a₁b₃, a₁b₂-a₂b₁)
- Magnitude: |A| = √(a₁² + a₂² + ...)
- Angle: cos(θ) = (A·B)/(|A|·|B|)
This calculator allows you to perform these operations on 2D and 3D vectors in Cartesian coordinates.