{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/dot-product-calculator/schema.json",
  "title": "Dot Product Calculator inputs",
  "description": "Calculate the dot product, vector magnitudes, and angle between two numeric vectors.",
  "type": "object",
  "properties": {
    "vectorA": {
      "title": "Vector A",
      "type": "string",
      "default": "1, 2, 3"
    },
    "vectorB": {
      "title": "Vector B",
      "type": "string",
      "default": "4, -5, 6"
    }
  },
  "required": [
    "vectorA",
    "vectorB"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/dot-product-calculator/",
    "queryExample": "https://askcalculators.com/calculator/dot-product-calculator/?vectorA=1%2C+2%2C+3&vectorB=4%2C+-5%2C+6",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "A · B = Σaᵢbᵢ; cos θ = (A · B) ÷ (|A||B|)"
    },
    "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."
    },
    "outputs": {
      "dotProduct": {
        "title": "Dot product",
        "type": "number",
        "x-format": "number",
        "x-digits": 12,
        "x-primary": true
      },
      "magnitudeA": {
        "title": "|A|",
        "type": "number",
        "x-format": "number",
        "x-digits": 12
      },
      "magnitudeB": {
        "title": "|B|",
        "type": "number",
        "x-format": "number",
        "x-digits": 12
      },
      "angleDegrees": {
        "title": "Angle between vectors",
        "type": "number",
        "x-format": "number",
        "x-suffix": "°",
        "x-digits": 8
      },
      "orthogonality": {
        "title": "Relationship",
        "type": "string",
        "x-format": "text"
      }
    }
  }
}