mathematics question

label Mathematics
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Sep 4th, 2015

Thank you for the opportunity to help you with your question!

For the object to remain stationary, the sum of all the acting forces must be zero. Therefore our third force must be equal in magnitude, yet opposite in sign to the sum of our first two forces to get a net force of zero. So let us first sum the force F1 and F2:

F1 + F2 = <-1 , 1 , -3> + <1 , 3 , -4> = <0 , 4 , -7>

So now we just need a force who's components are equal in magnitude, yet opposite in sign to the components of the summed force:

The opposite of 0 is 0

The opposite of 4 is -4

The opposite of -7 is 7

So our third force should be F3 = <0 , -4 , 7>

This third force should give us a net force of zero and keep our object stationary. 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 4th, 2015

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Sep 4th, 2015
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Sep 4th, 2015
Oct 23rd, 2017
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