Question $4$

$1\mathrm{.}4pts$

Consider the following three vectors: vec$(A)=a_x$hat$(i)+a_y$hat$(j)+a_z$hat$(k),$vec$(B)=b_x$hat$(i)+b_y$hat$(j)+b_z$hat$(k),$ and

vec$(C)=c_x$hat$(i)+c_y$hat$(j)+c_z$hat$(k)*a_x=5,a_y=6,a_z=5$;$b_x=2,b_y=4,b_z=7$;$c_x=5,c_y=3,c_z=4.$

Find the value of $(nvec(A)+$vec$(B))*vec(C),$ where $n=8$