Answer
$(7,8,-21)$
Work Step by Step
$2\vec{a}-3 (\vec{b}-\vec{c})=2(5,1,0)-3[(2,-1,9) -(1,1,2)] \\=(10,2,0)-3(1,-2, 7) \\=(5,1,0)+2(3,0,11)\\=(10, 2, 0)-(3,-6, 21)\\=(10-3 , 2+6 , 0-21) \\=(7,8,-21)$
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