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You can write a force vector as a sum of as many vectors as you want. Take the vector $2\hat{j}$, which I will write as $(0,2)$ for clarity. You can write this as two vectors: $$(0,2) = (1,1) + (-1,1)$$ As three vectors: $$(0,2) = (1,0.5) + (0,1) + (-1,0.5)$$ As four vectors: $$(0,2) = (-1,-1/2) + (-1, 1) + (1,3) + (1, -3/2)$$ And so on, in whatever way you ...


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