Explain why the vectors a=(-2,3) and b=(3,-1) = (13,9)

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Homework Statement



explain why the vectors a=(-2,3) and b=(3,-1) = (13,9)

how do i do this
 
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I don't think you wrote the question correctly. (3,-1) does not equal (13,9).
 


nope, that's wht it says on my assignment paper, ill ask my teacher tommorrow
 


I think it is more likely that the problem was to find numbers, a and b, such that a(-2, 3)+ b(3, -1)= (13, 9).
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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