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## Homework Statement

There are three forces, each of magnitude 5.00 N applied to a particle at O in the directions shown in Fig. 1. List the components of the individual forces F

_{1}, F

_{2}, and F

_{3}. Obtain the x and y components of the resultant of the three forces, R = F

_{1}+ F

_{2}+ F

_{3}and the magnitude of R and its direction by giving the angle to one of the axes.

F

_{1}vector is right on the x-axis and its direction is east.

F

_{2}vector is 30 degrees from +y. It is between north and west.

F

_{3}vector is 30 degrees from -y. It is between south and west.

## Homework Equations

## The Attempt at a Solution

For the F

_{3}vector, I did sine 30 = x/5 and I got 2.5. Then I used cosine and I got 4.33 for the other side. I did the same process for the F

_{2}vector.

So my components were:

F

_{3}(-2.5, -4.33)

F

_{2}(-2.5, 4.33)

F

_{1}(5, 0)

I add the component up to get R and I get 0 for the components and for the vector of R. Did I do something wrong? Or is this correct?

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