The image you provided seems to describe a statics problem related to forces acting on a particle, with forces $F_1$, $F_2$, and $F_3$ in three dimensions (x, y, z).

The goal of the problem is to determine the magnitudes of these forces for equilibrium. The conditions for equilibrium are that the sum of the forces and the sum of the moments must both be zero. This is expressed as:

1. $\sum F_x = 0$
2. $\sum F_y = 0$
3. $\sum F_z = 0$

Additionally, there might be angles involved, which will require breaking the forces into their components along the x, y, and z axes.

Let me analyze the forces given:

• $F_1$ has components in the x, y, and z directions.
• $F_2$ is also broken down based on the given angles.
• $F_3$ needs to be determined to balance the system.

Would you like me to solve this step by step for you, or do you have any specific information you'd like to discuss first?