Perform the indicated operation on the vectors vec$(a)=4$vec$(j)+$vec$(k),$vec$(b)=-4$vec$(i)+5$vec$(j)+2$vec$(k)$ and vec$(z)=$vec$(i)-2$vec$(j)-$vec$(k).$

$6$vec$(a)+2$vec$(b)-6$vec$(z)$

Enter your answer in the form Avec$(i)+$Bvec$(j)+$Cvec$(k),$ where $A,B,$ and $C$ are constants.

Use the drop$-$down menus to indicate if the second and third terms are negative and enter a positive number in both answer areas. If one or more of the constants $B$ or $C$ is zero, select $"+"$ from the drop$-$down menu and enter $0$ in the answer area. Enter a numeric value in each answer area.

$6$vec$(a)+2$vec$(b)-6$vec$(z)=$

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vec$(i)$

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vec$(j)$

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vec$(k)$