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Vector Operations Solver
x402
Vector Operations Solver is a paid API for AI agents from math-geometry.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Computes dot product, cross product, magnitudes, angle, projection, unit vectors, and distance between two vectors.
Price / call$0.02
Success—
StatusUnknown
How this service works
Vector operations: dot and cross product, magnitudes, angle between vectors, projection, unit vectors and distance.
Output
Returns a JSON object with dot product, cross product (if 3D), magnitudes of both vectors, angle in degrees and radians, cosine of angle, unit vectors, projection and scalar projection of u onto v, rejection of u from v, vector sum and difference, distance between tips, parallelogram area, triangle area, and boolean flags for whether vectors are parallel or orthogonal.
Example use cases
Physics force projection problem
“I need to find the projection of force vector u = 3,4,0 onto direction vector v = 1,0,0, and also tell me if they're orthogonal.”
3D geometry angle check
“Can you compute the angle in degrees between vectors u = 1,0,0 and v = 0,1,0, and give me their dot product and cross product?”
Computer graphics unit vector and distance
“For vectors u = 2,2,2 and v = 1,3,5, give me the unit vectors for each, the distance between their tips, and the parallelogram area they span.”
Technical details
Endpoint
GEThttps://math-geometry.x402tookit.com/vector-ops?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a comprehensive suite of vector operation results in a single call — including dot product, cross product, angle, projections, unit vectors, and geometric area — rather than calling separate specialized endpoints. Ideal for physics, engineering, computer graphics, and linear algebra tasks requiring multiple vector metrics at once.
Side effects
- Vectors u and v have different lengths — returns error
- Vector with fewer than 2 or more than 10 components — returns error
- Cross product only defined for 3D vectors — field returns null for other dimensions
- Zero vector input causes division-by-zero for unit vector or angle — may return null fields
- Malformed query string (non-numeric components) — returns parse error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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