Calculator Inputs and Outputs
Inputs
- Vector A x — example: 3
- Vector A y — example: 4
- Vector A z — example: 0
- Vector B x — example: 4
- Vector B y — example: 0
- Vector B z — example: 3
Results
- Angle between vectors (°)
- Cosine of angle
- Dot product
Formula used
cos θ = (A · B)/(|A||B|).
How to Use the Vector Angle Calculator
Enter the requested values, check the units and assumptions, then select Calculate Vector Angle. The built-in defaults provide a complete working example.
Formula
cos θ = (A · B)/(|A||B|).
Understanding the Results
The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.
Accuracy Tips
- Use measured values and consistent units.
- Review assumptions, waste rates, fees, timing, and efficiency inputs.
- Recalculate after changing any project condition.
Important Note
This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.
Calculation Standards
This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.
Read our calculation methodology