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In geometry, magnitude is the length of the hypotenuse of a right triangle.
No.
A vector is a quantity with both a direction and magnitude
That fact alone doesn't tell you much about the original two vectors. It only says that (magnitude of vector-#1) times (magnitude of vector-#2) times (cosine of the angle between them) = 1. You still don't know the magnitude of either vector, or the angle between them.
Any value from 0 to the magnitude of the radius.