Find Scalar Quadruple Product
Product of four vectors. Runs entirely in your browser, so your data never leaves your device.
0 chars · 0 lines
Output
The result appears here as you type.
How to use Find Scalar Quadruple Product
- 1. Paste four vectors. Enter exactly four 3D vectors in the input pane, one per line, written as components in parentheses. The scalar quadruple product needs all four to compute.
- 2. Read the result. The tool computes (a x b) dot (c x d) for your four vectors using the Lagrange identity, returning a single scalar number as the result.
- 3. Copy the value. Copy the resulting scalar from the output pane into your vector calculus notes, physics derivation, or homework answer.
When to use Find Scalar Quadruple Product
Find Scalar Quadruple Product computes (a x b) dot (c x d) for four 3D vectors using the Lagrange identity. It is a niche vector calculus operation that shows up in geometry proofs and mechanics derivations.
- Checking a vector calculus homework proof. A course covering the Lagrange identity asks you to compute the scalar quadruple product of four given vectors as part of a proof, and this verifies your derivation.
- Verifying a geometric relationship between two planes. Two cross products represent normals to two planes, and the scalar quadruple product relates the angle between them, useful when checking a 3D geometry calculation.
- Testing an implementation of a physics formula. A mechanics simulation uses cross and dot products together in a formula equivalent to the scalar quadruple product, and computing a known example verifies your code's math.
- Studying identities in vector algebra. You are working through vector identities for a linear algebra course and want a concrete numeric example of the scalar quadruple product to anchor the abstract formula.
Examples
(a × b) · (c × d) of four 3D vectors
Input
(1, 2, 3) (4, 5, 6) (7, 8, 9) (1, 0, 1)
Output
12
About the Find Scalar Quadruple Product tool
Find Scalar Quadruple Product runs as plain JavaScript in your browser tab, with no server behind it. Product of four vectors. Whatever you put in stays on your device from start to finish.
The tool is part of EditSafely's Math Tools section, 234 single-purpose utilities built around the same idea: open the page, get the result, keep your data to yourself.
There is nothing to configure. Provide the input and the result appears on its own. A worked example further down the page shows exactly what the tool produces for a real input.
That local-first design has practical benefits beyond privacy. The tool keeps working on a flaky connection once the page has loaded, results are instant because nothing round-trips to a server, and it is safe to use with confidential material.
Frequently asked questions
Is Find Scalar Quadruple Product free to use?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Is it safe to paste sensitive or confidential data?
Everything happens locally. Your browser downloads the tool's code once, then does all the processing itself; nothing you enter is transmitted, stored or logged. You can even go offline after the page loads and it will still work.
How much text can I process at once?
There is no fixed limit. Because the work happens on your own device rather than on a shared server, the practical ceiling is your machine's memory, which comfortably handles inputs far larger than typical online tools allow.
Do I need to sign up or install anything?
No. The tool works in any modern browser on desktop, tablet or phone. There is no account to create, no extension to add and no software to install.
How do I use the result?
The output panel has a one-click copy button, and you can keep refining the input while you work; the result updates in place as you type.