Answer to Question #37992 in Geometry for amal

Question

Hi;

Let S^2 be a 2-dimensional unit sphere in R^3. Let u and v be two unit vectors in R^3 (so in S^2). We will define a binary operation on S^2 by u*v is a unit vector obtained by rotating a vector u along v by 180 degree (Pi).

Define stab(x)={y in S^2: y*x=x}. My question is find stab(x) where x is in S^2.

Answer 1

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