A system has three forces acting on it: 3N upwards, 5N to the right, and 6N at 45 degrees upwards from the horizontal. Resolve all forces into x and y components.

Step 1: Resolve all forces into their horizontal (x) and vertical (y) components.
Let the positive x-axis be to the right and the positive y-axis be upwards.

• Force 1: $3 \, \text{N}$ (vertically upwards) $F_{1x} = 0$ $F_{1y} = 3 \, \text{N}$

• Force 2: $5 \, \text{N}$ (horizontally to the right) $F_{2x} = 5 \, \text{N}$ $F_{2y} = 0$

• Force 3: $6F \, \text{N}$ at $45^\