Finding Other Force in 2-Force Problem

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To solve the problem of finding the other force acting on a 3.1 kg mass with a known force and acceleration, the total force vector is calculated by multiplying the mass by the acceleration, resulting in a vector in the fourth quadrant. The first force, F1, is given as a vector in the third quadrant. Understanding the vector components and their respective quadrants is crucial for visualization. A sketch may help clarify how to transition from the third quadrant force to the total force in the fourth quadrant. Ultimately, the other force can be determined by vector addition, confirming that the total force is the sum of the individual forces.
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Other Force problem !

Homework Statement



Two forces act on a 3.1 kg mass, which undergoes acceleration a = 0.88 i - 0.28 j m/s2. If one of the forces is F1 = - 1.5 i - 3.0 j N, what is the other force?

Homework Equations


I don't know how to visualize this !


The Attempt at a Solution



I know two component add to Force but I can't visualize. I know vectors as :
F2 = ( 0.88 i - 0.28 j) * 3.1 which is 4th quadrant and F1 will be 3rd quadrant but how i can visualize it !
 
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yep. One force is a vector which goes to the third quandrant, and the total vector is in the fourth quadrant. So how to get from the third quadrant to the fourth quadrant? maybe it is simpler than you are thinking.
 
Ok how do you know that's total vector ?
 
well, you got it by multiplying mass times acceleration, so by definition, that is the total force vector.
 
Cause... that's where i was gettin tricked.
 
Well, did you try making a sketch?
 
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