{
  "id": "dot-product-calculator",
  "version": "1.0.0",
  "name": "Dot Product Calculator",
  "shortName": "Dot Product",
  "description": "Calculate the dot product, vector magnitudes, and angle between two numeric vectors.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "dot",
    "product",
    "calculator",
    "dot product calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/dot-product-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/dot-product-calculator/",
    "definition": "/calculator/dot-product-calculator/definition.json",
    "schema": "/calculator/dot-product-calculator/schema.json",
    "llms": "/calculator/dot-product-calculator/llms.txt",
    "legacyDefinition": "/calculator/dot-product-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/dot-product-calculator/?vectorA=1%2C+2%2C+3&vectorB=4%2C+-5%2C+6",
  "queryParameters": {
    "vectorA": {
      "label": "Vector A",
      "type": "text",
      "required": true,
      "default": "1, 2, 3"
    },
    "vectorB": {
      "label": "Vector B",
      "type": "text",
      "required": true,
      "default": "4, -5, 6"
    }
  },
  "inputs": [
    {
      "id": "vectorA",
      "label": "Vector A",
      "type": "text",
      "required": true,
      "defaultValue": "1, 2, 3",
      "placeholder": "Comma-separated components"
    },
    {
      "id": "vectorB",
      "label": "Vector B",
      "type": "text",
      "required": true,
      "defaultValue": "4, -5, 6",
      "placeholder": "Comma-separated components"
    }
  ],
  "outputs": [
    {
      "id": "dotProduct",
      "label": "Dot product",
      "format": "number",
      "primary": true,
      "digits": 12
    },
    {
      "id": "magnitudeA",
      "label": "|A|",
      "format": "number",
      "digits": 12
    },
    {
      "id": "magnitudeB",
      "label": "|B|",
      "format": "number",
      "digits": 12
    },
    {
      "id": "angleDegrees",
      "label": "Angle between vectors",
      "format": "number",
      "digits": 8,
      "suffix": "°"
    },
    {
      "id": "orthogonality",
      "label": "Relationship",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "A · B = Σaᵢbᵢ; cos θ = (A · B) ÷ (|A||B|)"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "vectorA": "1, 2, 3",
        "vectorB": "4, -5, 6"
      }
    }
  ],
  "sources": []
}