Resolve each force acting on the support into its x and y components, and express each force as a Cartesian vector.

#### Solution:

### Let us first draw each force separately on it’s own coordinate plane and break each vector into it’s x and y components. Each force is separately drawn below:

### Carefully analyze each force and it’s components. Now, we can write each component using the i,j,k Cartesian coordinate system.

### For force F_1 we see that it has two components, i and j which are both positive. So we can write F_1 as follows:

### \vec{F_1} = \left\{800 \cos60^0(i)+800\sin 60^0(j)\right\}N

### \vec{F_1} = \left\{400i+693j\right\}N

### For force F_2 we see that it also has two components, but note that the i component is negative.

### \vec{F_2} = \left\{600 \sin45^0(-i)+600\cos45^0(j)\right\}N

### \vec{F_2} = \left\{-424i+424j\right\}N

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Thanks all members

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