Gram-Schmidt Calculator
Result
Gram-Schmidt Calculator (2D) The Gram-Schmidt Calculator turns two 2D vectors into an orthogonal (and orthonormal) basis using the Gram-Schmidt process. Enter the components of both vectors. — free online calculator.
Formula
- Gram-Schmidt Calculator calculates its result from V1. It uses the formula u₁ = v₁; u₂ = v₂ − (v₂·u₁ / u₁·u₁) u₁; then normalise. Change any input to recalculate the result instantly.
- The main inputs are V1. 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: Gram-Schmidt
- V1: 2
Using V1 = 2, the calculated result is 2.
Sample result: Calculating…
Frequently asked questions
What does the Gram-Schmidt calculate?
Gram-Schmidt Calculator (2D) The Gram-Schmidt Calculator turns two 2D vectors into an orthogonal (and orthonormal) basis using the Gram-Schmidt process. Enter the components of both vectors. — free online calculator.
Which values should I enter?
Enter V1 using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: u₁ = v₁; u₂ = v₂ − (v₂·u₁ / u₁·u₁) u₁; then normalise.
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.