Vector dot

vector-dot · version 1.0.0 · Vectors & matrices · free, no key needed

Compute the dot (scalar) product of two equal-length finite-number vectors.

Use when you need to: vector dot product · scalar product of two vectors · inner product.

Supported

• vector dot product
• scalar product of two vectors
• inner product

Not supported

• vectors of different lengths
• complex-valued inner product
• arbitrary-precision arithmetic

Behavior

• Inputs a and b are arrays of finite JSON numbers with the same length, from 1 to 64 entries.
• Each entry magnitude is bounded to at most 1000000 in absolute value.
• The result is the left-to-right IEEE-754 double-precision accumulation of a[i] * b[i] for every index.
• A result of -0 is normalized to 0.

Input

• a (array of number, required): min items 1; max items 64
• b (array of number, required): min items 1; max items 64

Output

• result (number, required)

Limits

• max dim: 64
• max abs value: 1000000

Example

Request input:

{
  "a": [
    1,
    2,
    3
  ],
  "b": [
    4,
    5,
    6
  ]
}

Response:

{
  "result": {
    "result": 32
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "vector-dot",
  "version": "1.0.0",
  "input": {
    "a": [
      1,
      2,
      3
    ],
    "b": [
      4,
      5,
      6
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/vector-dot/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"a":[1,2,3],"b":[4,5,6]}'

The machine-readable contract is at /v1/tools/vector-dot/versions/1.0.0.

CLI

node cli.mjs run vector-dot 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Vector outer product: Compute the outer product of two finite-number vectors, producing a matrix.
• Vector add: Add two equal-length finite-number vectors elementwise.
• Vector lerp: Linearly interpolate (or extrapolate) between two equal-length finite-number vectors.
• Matrix multiply: Multiply an MxK finite-number matrix by a KxN finite-number matrix, producing an MxN matrix.
• Vector angle: Compute the angle in radians between two equal-length finite-number vectors.
• Vector approx equal: Compare two equal-length finite-number vectors for approximate equality within an absolute tolerance.