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Verified calculation capability

Vector Calculation Capability

R²/R³ magnitude, normalize, add/sub, dot, cross, angle, projection, and scalar triple product. Discovery /vector-magnitude, /dot-product, /cross-product. Not a matrix, not coordinate geometry, not CAS. · Math

Capability ID math.vector · version 1.0.0

Open calculator REST API MCP Evidence Evidence JSON Review policy

Model

Magnitude

Solve modes: magnitude · normalize · add · sub · dot · cross · angle · projection · triple

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

SymbolQuantityUnitRole
ux——input
uy——input
uz——input
vx——input
vy——input
vz——input
wx——input
wy——input
wz——input
magnitude——output
nx——output
ny——output
nz——output
rx——output
ry——output
rz——output
dot——output
cx——output
cy——output
cz——output
angle_deg——output
px——output
py——output
pz——output
triple——output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Example

One numerical check. The calculator page holds worked steps and FAQ.

magnitude (3,4,0) → 5

Open this example in the calculator

Trust

Review-policy: engine tested — automated tests, sources, version lock, and evidence published. Supplemental to CVP; not Domain Expert Review. See CVP and Review policy.

Tier
Engine tested — catalog token engine_tested
Calculation version
1.0.0
Evidence tests
11/11 calculation tests · golden 3/3 · boundary 2/2 · property 6/6
Engine tested
Yes
Source checked
Yes
Supplemental domain review
Not performed
Named expert review
Not performed
Version lock
Supported (409 VERSION_MISMATCH)
Artifact consistency
Build verified · 1.0.0 (workspace artifacts agree)
Production attestation
Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (2 capabilities; 162 remain CURRENT) @ 2026-09-20T09:01:12.147Z
Semantic contract
PASS
Evidence attested at
2026-09-18T21:41:55.460Z
Last production check
2026-09-18T21:41:55.460Z
Public / cache
—
Origin
—

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 3/3.

Tool id
vector
Engine
vector
REST
POST /api/v1/calc/vector
MCP
execute_calculation with capability_id: "math.vector"
Agent input schema
Canonical (MCP / Agent)
Output schema
JSON Schema (latest)
Versioned input schema
Immutable pin (1.0.0)
Versioned output schema
Immutable pin (1.0.0)

References

Human-readable sources plus CVP reference evidence classes.

Sources

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"math.vector"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.0.0) when reproducibility matters. Full protocol notes: MCP docs.