Parallel Vectors and Dot Product Calculations

g.lemaitre
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Homework Statement



Screenshot2012-07-14at23706AM.png


Homework Equations




The Attempt at a Solution



I can't get the answer above. Is u -4 over 15? if so, the dot product of u and x should be
-20 + 105. I'm clearly on the wrong track.
 
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If you're going to do it that way, notice that the 1/5 term in the unit vector u should be multiplied by both -4 and 3 before it is dotted with x.
 
Thanks, I was able to figure it out by looking at the next example.
 
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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