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Find Vector Triple Product

Vector triple product. 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 Triple Product

  1. 1. Paste three vectors. Enter exactly three 3D vectors in the input pane, one per line, written as components in parentheses. All three are needed for the vector triple product.
  2. 2. Read the result. The tool computes a cross (b cross c) using the BAC-CAB rule, returning a new 3D vector that lies in the plane spanned by b and c.
  3. 3. Copy the resulting vector. Copy the resulting vector from the output pane into your physics calculation, graphics derivation, or homework answer.

When to use Find Vector Triple Product

Find Vector Triple Product computes a cross (b cross c) for three 3D vectors, a result that always lies in the plane of b and c. Use it for mechanics and vector calculus problems built around the BAC-CAB identity.

  • Checking a homework BAC-CAB identity. A vector calculus assignment asks you to compute a triple cross product and compare it against the expanded b(a dot c) minus c(a dot b) identity, and this verifies both agree.
  • Working through a mechanics problem. A rotational dynamics problem involves a triple cross product term, and computing it here for the given vectors checks an intermediate step of the larger derivation.
  • Verifying a graphics or physics engine calculation. A simulation computes a term equivalent to a vector triple product internally, and computing a known example here helps confirm the engine's math is implemented correctly.
  • Exploring why the result stays in one plane. You want to see for yourself that the vector triple product always lands in the plane spanned by the second and third vectors, testing several examples to confirm the pattern.

Examples

a × (b × c) of three 3D vectors

Input

(1, 2, 3)
(4, 5, 6)
(7, 8, 9)

Output

(-24, -6, 12)

About the Find Vector Triple Product tool

Find Vector Triple Product is a free online tool that works entirely inside your web browser. Vector triple product. 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

Is Find Vector Triple 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.

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