Find Vector Quadruple Product
Vector product of four vectors. Runs entirely in your browser, so your data never leaves your device.
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Output
The result appears here as you type.
How to use Find Vector Quadruple Product
- 1. Paste four vectors. Enter exactly four 3D vectors in the input pane, one per line, written as components in parentheses. All four are needed for the vector quadruple product.
- 2. Read the result. The tool computes (a cross b) cross (c cross d) for your four vectors, returning a new 3D vector as the result rather than a scalar.
- 3. Copy the resulting vector. Copy the resulting vector from the output pane into your vector calculus notes, physics derivation, or homework answer.
When to use Find Vector Quadruple Product
Find Vector Quadruple Product computes (a cross b) cross (c cross d) for four 3D vectors, a double cross product that returns a vector rather than a scalar. It appears in advanced vector calculus identities.
- Checking a vector calculus homework proof. A course covering vector identities asks you to compute the vector quadruple product of four given vectors as part of a proof, and this verifies your derivation.
- Verifying an implementation of a physics formula. A mechanics or graphics calculation uses nested cross products equivalent to the vector quadruple product, and computing a known example checks your code's math.
- Studying nested cross product identities. You are working through the BAC-CAB rule applied twice for a linear algebra course and want a concrete numeric example to confirm the expanded identity holds.
- Comparing scalar and vector quadruple products. You want to see how the vector quadruple product differs in structure and result from the scalar quadruple product for the same four input vectors.
Examples
(a × b) × (c × d) of four 3D vectors
Input
(1, 2, 3) (4, 5, 6) (7, 8, 9) (1, 0, 1)
Output
(-42, -48, -54)
About the Find Vector Quadruple Product tool
Find Vector Quadruple Product is a free online tool that works entirely inside your web browser. Vector product of four vectors. Because the processing happens on your own device, nothing you enter is uploaded, logged or stored anywhere.
This page is one of 234 Math utilities on EditSafely. Each one does a single job well, and all of them follow the same rule: your input stays on your machine.
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.
Because nothing leaves your device, the tool is suitable for sensitive content such as internal documents, credentials or customer data. It also responds instantly, since every keystroke is handled on your own machine rather than by a remote API.
Frequently asked questions
Does Find Vector Quadruple Product cost anything?
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?
No data leaves your device. The whole tool is JavaScript that runs inside your browser tab, so there is no upload, no server-side processing and no log of what you did. If you disconnect from the internet after the page loads, it keeps working.
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?
Nothing to install and no account needed. Open the page in any up-to-date browser, including on a phone or tablet, and the tool is ready.
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.