Does the following algorithm produce a unit vector (i.e. with length one) starting from the origin towards a random direction? Verify your answer by writing a program that visualizes the angle distributions with respect to the x-axis. My-Vector() out: unit vector (x , y ) towards a random direction 1: x ← 2 · Random-Unit() − 1 2: y ← 2 · Random-Unit() − 1 3:
←      x2 + y2   Distance from (0, 0) to (x, y). 4: return (x/
, y/
)   Scale to the unit circle.

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