The blue vertex is fixed in the plane. The green vertex can be anywhere on a circle. The yellow vertex completes an equilateral triangle. What is the locus of the yellow vertex?
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Solution
The locus is a congruent circle.
![](https://mirangu.com/wp-content/uploads/2024/05/LocusPocusSolution.jpg)
The locus is a circle of same radius centered on the top vertex of the equilateral built from segment AO. It’s a vector thing : r vector= green vector – blue vector.
Video
Please find here the video solution: Video: Locus pocus.
One reply on “Locus pocus”
Vector formula cool!