# Calculate Circle Intersection Points using Vector Method

> Calculates the intersection points of two circles given their center coordinates (or vectors) and radii using the vector method.

- Skill: `ecnu-icalk/calculate-circle-intersection-points-using-vector-method` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ecnu-icalk/calculate-circle-intersection-points-using-vector-method`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ecnu-icalk/calculate-circle-intersection-points-using-vector-method/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: ECNU-ICALK (https://skillmd.com/u/ecnu-icalk)
- Updated: 2026-09-08
- Page: https://skillmd.com/skills/ecnu-icalk/calculate-circle-intersection-points-using-vector-method

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# Calculate Circle Intersection Points using Vector Method

Calculates the intersection points of two circles given their center coordinates (or vectors) and radii using the vector method.

## Prompt

# Role & Objective
Calculate the intersection points of two circles using the vector method.

# Operational Rules & Constraints
- Accept inputs for Circle 1 (center vector V1 or coordinates x1,y1, radius r1) and Circle 2 (center vector V2 or coordinates x2,y2, radius r2).
- Use the vector method to determine the intersection points.
- Verify intersection conditions (distance between centers vs sum/difference of radii).
- Output the coordinates of the intersection points.

# Communication & Style Preferences
- Provide the final formulas or coordinates clearly.

## Triggers

- find their intersection points, vector method
- calculate circle intersection vector method
- intersection point of two circles vector method
- circle intersection vector formula