Answer: 130 degrees. 360x4=1440 degrees. So each time we have 360 degree rotation, we end up where we started. The rotation will be 1575-1440=130 degrees.
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1575 1575/25=63 1575/35=45 and 1575/45=35
The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }
90 degree anticlockwise.
The answer is 1575*5 = 7875
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.