Description
Return scalar triple product and handedness label.
Anatomical diagrams and idealized models require explicit coordinate origins, axes, dimensions and indexing conventions. Translations, vector projections and simple shape formulas describe supplied geometry rather than identifying actual anatomy or determining a medical finding. A scaled drawing or ideal branching tree needs separate anatomical verification.
Return scalar triple product and handedness label.
When to use this tool
Use Anatomical Axis Handedness Triple Sign when checking the stated diagram, coordinate, vector or ideal-shape convention.
How to use the tool and how it works
- Enter first, second, third. Follow any array-alignment requirements below. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read tripleProduct, handedness. Use the output convention below.
Return scalar triple product and handedness label. Require three-component vectors; tripleProduct = first dot (second cross third), label follows positive/right-handed, negative/left-handed or exact zero/degenerate.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First | Required. Array of finite number; maximum items 256. |
| second | Second | Required. Array of finite number; maximum items 256. |
| third | Third | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| tripleProduct | Triple Product | Required. Finite number. |
| handedness | right-handed for positive triple product, left-handed for negative, degenerate for exact zero; no tolerance. | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"first": [
1,
0,
0
],
"second": [
0,
1,
0
],
"third": [
0,
0,
1
]
},
"output": {
"tripleProduct": 1,
"handedness": "right-handed"
}
}Limitations and assumptions
- No normalization or tolerance is applied; actual anatomical orientation, orthonormality and image validity are not verified.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified anatomical measurements and an appropriate complete spatial model; consult qualified health professionals for actual medical interpretation.
References
Similar or alternative tools
- Section Plane Normal Reference Token
Compare nonzero three-component plane normals.
- Muscle Origin Insertion Line Component
Return origin-to-insertion line length and signed axis-force projection.