Mystery Scalar Exploration (Part 6)

In the app below, move the points around so both vectors shown have magnitude = 4.
When both vectors have magnitude = 4, is there a highest possible value of the mystery number? If so, what is it?
When both vectors have magnitude = 4, is there a lowest possible value of the mystery number? If so, what is it? [br]
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– Tim Brzezinski

Information: Mystery Scalar Exploration (Part 6)