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Calculate circle intersection points using vector method

Skill ECNU-ICALK/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8/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.From its SKILL.md

Install
npx -y skills add ECNU-ICALK/AutoSkill --skill calculate-circle-intersection-points-using-vector-method

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SKILL.md

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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

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