Find Scalar Triple Product
Mixed product of three 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 Triple Product
- 1. Paste three vectors. Enter exactly three 3D vectors in the input pane, one per line, written as components in parentheses. The scalar triple product needs all three to compute.
- 2. Read the result. The tool computes a dot (b cross c), also called the box product, for your three vectors and returns a single scalar number.
- 3. Copy the value. Copy the resulting scalar from the output pane into your geometry proof, physics calculation, or homework answer.
When to use Find Scalar Triple Product
Find Scalar Triple Product computes a dot (b cross c) for three 3D vectors, a value whose absolute magnitude equals the volume of the parallelepiped the vectors span. It is common in geometry and mechanics work.
- Finding the volume of a parallelepiped. A geometry problem gives three edge vectors of a parallelepiped and asks for its volume, and computing the scalar triple product's absolute value gives exactly that.
- Checking whether three vectors are coplanar. If the scalar triple product of three vectors is zero, they lie in the same plane, and this quickly confirms or rules out coplanarity for a homework or proof.
- Verifying a homework box product answer. A linear algebra assignment asks for the box product of three given vectors, and computing it here confirms your manual cross and dot product arithmetic.
- Checking orientation in a physics or graphics calculation. The sign of the scalar triple product indicates whether three vectors form a right-handed or left-handed set, useful when debugging a 3D coordinate system's orientation.
Examples
a · (b × c) for the unit axes
Input
(1, 0, 0) (0, 1, 0) (0, 0, 1)
Output
1
About the Find Scalar Triple Product tool
Find Scalar Triple Product does its work locally, right in the browser. Mixed product of three vectors. There is no upload step, no queue and no account, and your data never travels over the network.
It belongs to the Math Tools collection on EditSafely, a set of 234 small, focused Math utilities that share the same instant, private workspace.
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.
Running locally also makes the tool fast and dependable: results appear as you type or drop a file, there is no server outage that can take it down mid-task, and confidential data can be processed without a second thought.
Frequently asked questions
Does Find Scalar Triple 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.