According to the given data we have the following:
component forms of vectors u and v are given by:
u =(5,3)
v = (2,-7)
2u+(-3v)+w=0
Therefore, to calculate w we would have to make the following calculation:
2u=2*(5,3)=(10,6)
-3v=-3*(2,-7)=(-6,21)
Therefore, if (10,6) + (-6,21) + w=0
W= (-4,-25)
The component form of w is (-4,-25)
