Vector addition with 4 force vectors

AI Thread Summary
To find the resultant vector from four force vectors, break each vector into its x and y components. Sum the x components to get a total x force and sum the y components for a total y force. This results in two perpendicular force vectors, one along the x-axis and one along the y-axis. The final step is to calculate the resultant vector from these two components, ensuring to pay attention to the signs of the components. This method is efficient and avoids the time-consuming head-to-tail method.
Elysian
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Homework Statement


[PLAIN]http://img849.imageshack.us/img849/1466/vectorimage.png


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The Attempt at a Solution



I'm not sure at all how to do this to get the resultant vector, other than using the head-to-tail method by scaled vectors, which I really don't want to do and work out because it seems like it'd be too time consuming if I was to encounter a problem like this on a test..

I'm not too sure about this at all, so if anyone can give me a hint or something on how to start, it'd be appreciated. Thanks
 
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If you break up each vector into its x and y components, then add the x components, and then separately add the y components, you end up with 2 force vectors at right angles to each other, one in the x direction and the other in the y direction. Now find the resultant of those 2 vectors. Please watch plus and minus signs.
 

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