If two cards are drawn from a regular shuffled deck, what is the probability that both cards will be diamonds?
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The cross product of two vectors gives a third vector 
that is orthogonal to the first two.
Normalize this vector by dividing it by its norm:
To get another vector orthogonal to the first two, you can just change the sign and use
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Normalize this vector by dividing it by its norm:
To get another vector orthogonal to the first two, you can just change the sign and use