{"id":"vector-cross","version":"1.0.0","description":"Compute the 3-dimensional cross product of two finite-number vectors.","supported_operations":["vector cross product","3d cross product","vector product"],"unsupported_operations":["vectors of dimension other than 3","7-dimensional cross product","arbitrary-precision arithmetic"],"semantics":["Inputs a and b are each arrays of exactly 3 finite JSON numbers, magnitude bounded to at most 1000000.","The result is the standard right-handed cross product: [a1*b2-a2*b1, a2*b0-a0*b2, a0*b1-a1*b0] using zero-based indices.","Computed with IEEE-754 double-precision arithmetic; a result entry of -0 is normalized to 0.","Only 3-dimensional vectors are supported; there is no 2D or 7D variant."],"limits":{"dim":3,"max_abs_value":1000000},"pricing":{"status":"unpriced","charge_usd":null},"input_schema":{"type":"object","additionalProperties":false,"required":["a","b"],"properties":{"a":{"type":"array","minItems":3,"maxItems":3,"items":{"type":"number"}},"b":{"type":"array","minItems":3,"maxItems":3,"items":{"type":"number"}}}},"output_schema":{"type":"object","additionalProperties":false,"required":["result"],"properties":{"result":{"type":"array","minItems":3,"maxItems":3,"items":{"type":"number"}}}},"examples":[{"input":{"a":[1,0,0],"b":[0,1,0]},"output":{"result":[0,0,1]}}],"execute_url":"/v1/tools/vector-cross/versions/1.0.0/execute"}