Calculating Vector & Scalar Projection of a & b

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Homework Statement


i have to find the scalar and vector projection of a=i-j+k and b=2i-j-2k
and i got:
Vector proj = (1/3)(i-j+k) = i/3 + j/3 + k/3

scalar proj = (1/9)(2i-j-2k) = 2i/9 - j/9 - 2k/9
is this correct?
 
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also, the angle that b makes with each of the coordinates would be 79 degrees?
 
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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