### Home > PC3 > Chapter 7 > Lesson 7.2.2 > Problem7-93

7-93.

Three forces act on an object of negligible mass. The forces have magnitudes and directions as follows: Homework Help ✎

$\text{F}_1$: $23$ N, $θ=16°$

$\text{F}_2$: $100$ N, $θ=-85°$

$\text{F}_{31}$: $88$ N, $θ=110°$

What are the magnitude and direction of the resultant force?

$\text{F}1=⟨23\cos(16°),23\sin(16°)⟩\\ \text{F}2=⟨100\underline{\quad}(-85°),100\sin(\underline{\quad})⟩\\ \text{F}3=⟨\underline{\qquad},\underline{\qquad}⟩$

$\text{resultant force}=\text{F}_{^1}+\text{F}_2+\text{F}_3$