Vector Projection Calculator
Calculate the projection of vector a onto vector b with our easy-to-use calculator.
Enter Vector Components
Vector a
Vector b
Result:
⟨ 0, 0, 0 ⟩
Understanding Vector Projection
Vector projection is a fundamental concept in linear algebra and geometry. It calculates the vector component of one vector that is parallel to another vector.
Key Concepts
- The projection formula is: proj_b(a) = (a·b/||b||²)b
- The result is always parallel to vector b
- The magnitude of the projection represents the "shadow" length
Applications
Vector projection is used in many fields, including:
- Physics: Force decomposition and motion analysis
- Computer Graphics: Shadow calculations and ray tracing
- Engineering: Structural analysis and signal processing