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Vector Projection Calculator
Project vector A onto vector B in 3D and find the scalar projection.
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Projection
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Project vector A onto vector B in 3D and find the scalar projection.
Vector Projection Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: proj_B A = (A·B / B·B) B.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Vector Quick Guide
Typical values for reference.
| A | B | A·B | Scalar projection |
|---|---|---|---|
| (3,4,2) | (1,2,2) | 15.0 | 5.000 |
| (1,0,0) | (1,1,0) | 1.0 | 0.707 |
| (2,2,2) | (0,0,3) | 6.0 | 2.000 |
| (5,-1,3) | (2,0,1) | 13.0 | 5.814 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Vector Projection Calculator FAQ
Answers to common questions about this calculator.
The component of one vector along another.
Divide the dot product by the squared length of B and scale B.
The signed length of the projection.
When the vectors are perpendicular.