Angle Between Two Vectors Calculator
Result
Angle Between Two Vectors Calculator The Angle Between Two Vectors Calculator finds the angle separating two 3D vectors using the dot product and their magnitudes. The formula used is: θ = cos⁻¹[(A·B) ÷ (|A||B|)]. Results are given in degrees and radians. — free online calculator.
Formula
- Angle Between Two Vectors Calculator calculates its result from Vector A x, Vector A y, Vector B x, Vector B y. It uses the formula θ = arccos((A·B)/(|A||B|)).. Change any input to recalculate the result instantly.
- The main inputs are Vector A x, Vector A y, Vector B x, Vector B y. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Angle Between Two Vectors
- Vector A x: 1
- Vector A y: 0
- Vector B x: 1
- Vector B y: 1
Using Vector A x = 1, Vector A y = 0, Vector B x = 1, Vector B y = 1, the calculated result is 45.
Sample result: Calculating…
Frequently asked questions
What does the Angle Between Two Vectors calculate?
Angle Between Two Vectors Calculator The Angle Between Two Vectors Calculator finds the angle separating two 3D vectors using the dot product and their magnitudes. The formula used is: θ = cos⁻¹[(A·B) ÷ (|A||B|)]. Results are given in degrees and radians. — free online calculator.
Which values should I enter?
Enter Vector A x, Vector A y, Vector B x, Vector B y using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: θ = arccos((A·B)/(|A||B|))..
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.