Matrix dependent on values of <a,b,c>

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Let $v = <a, b, c>$. Find, if possible, a 3-by-3 matrix $M$ so that $Mw = v × w$. Your matrix $M$ will depend on the values $a, b, c$.

What is the rank of $M$? Column space? Null space? Nullity?

I really have no idea where to start.