I think that the point would travel at c, and if it exceeded that speed, the universe would end and begin all over again, because we screwed it up.
But really, it seems that as the angle approaches 0, the speed of the point appears infinitismely large (at least on my scissors) so if both blades were EACH moving at c in oppoosite directions, (lets say on opposite ends of the x-axis in a cartesian plane), then the point should be moving at a theoretically impossible number in the positive direction in the x-axis.
So, the answer would exceed c^c, which is supposed to be c, by relativity.
Basically, I couldnt tell you without testing it empirically myself, and I dont have anything that could create enough force to move the blades anywhere near that fast.
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