Proving Vector Orthogonality of b onto a

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Homework Statement



Show that vector orth of b onto a=b-proj of b onto a is orthogonal to a.


I totally don't know where to start :(

and I don't know hat orth of b onto a means...
 
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darthxepher said:
and I don't know hat orth of b onto a means...

Well, that's kind of crucial for answering this question, isn't it. Do you have any lecture notes or textbook in which you can look this up?
Do you remember what the dot product (\vec a \cdot \vec b) meant geometrically?
 
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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