(a)
(b)
`vec(F)_(1)=-1000 hat(i) (N)`,
`vec(F)_(2)=-2000hat(j)(N)`,
`vec(F)_(3)=2000(cos45^(@)hat(i)+sin 45^(@)hat(j)(N)=1000sqrt(2)hat(i)+1000sqrt(2)hat(j)`
(c) `vec(F)_("resul tan t")=vec(F)_(1)+vec(F)_(2)+vec(F)_(3)=1000(sqrt(2)-1)hat(i)-1000(2-sqrt(2))hat(j) N`
`F_(x)=1000(sqrt(2)-1) N`
`F_(y)=-1000(2-sqrt(2))N`
`|vec(F)|=sqrt(F_(x)^(2)+F_(y)^(2))=1000(sqrt(2)-1)xxsqrt(3)=1000(sqrt(2)-1)sqrt(3) N`