The question is: Let f and g be the reflection of the sphere S^2 in the great circles that are the intersections of the planes x-y=0 and y=0, respectively.
1. Calculate the composite transformation g of f
2. As the composite of two reflections, we know that g of f is a rotation. What are the axes and angle of rotation.
Hint Given: What is the fromula for reflection in the plane x=y? y=0?
1. Calculate the composite transformation g of f
2. As the composite of two reflections, we know that g of f is a rotation. What are the axes and angle of rotation.
Hint Given: What is the fromula for reflection in the plane x=y? y=0?