How to Calculate Projection
What is Projection?
Vector projection (proj_b a) shows component of vector a in direction of vector b; used in physics, graphics.
Step-by-Step Guide
- 1Input two vectors
- 2Calculate scalar projection: (a·b)/|b|
- 3Results show vector projection and scalar
Worked Examples
Input
a=(3,4), b=(1,0)
Result
Scalar proj = 3, vector proj = (3,0)
Common Mistakes to Avoid
- ✕Using dot product alone (missing direction)
- ✕Not normalizing vector b
Frequently Asked Questions
How is this different from dot product?
Dot product gives scalar; projection gives vector in b's direction.
Ready to calculate? Try the free Projection Calculator
Try it yourself →