Find the magnitude and the angle that it makes with the positive x-axis?

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SUMMARY

The discussion focuses on calculating the magnitude and angle of a resultant vector formed by three force vectors. The user calculated the resultant force, F, to be 179.37 units at an angle of 91 degrees with respect to the positive x-axis. The calculation involved decomposing each vector into its components using trigonometric functions (cosine and sine) and applying the Pythagorean theorem to find the magnitude. The angle was determined using the inverse cosine function based on the x-component of the resultant vector.

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Homework Statement


find the magnitude and the angle that it makes with the positive x-axis?
http://imageshack.us/photo/my-images/594/unledzmo.png/


Homework Equations





The Attempt at a Solution


The answer that I have is
F= 179.37 at an angle of 91 degrees. Am I right?
I took F1 and multiplied that by <cos60,sin60>, F2 multiplied that by <cos135,sin135>,F3 multiplied by <cos270,sin270> and then I added up all those vectors. then I used the Pythagorean theorem to get the magnitude then I took the inverse cosign of the x component of the resulting vector divided by the magnitude to get 91 degrees.
 
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That's what I got too. Good work!
 

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