Truly multivariable

Geometry Level 3

Given the vector $$\vec{V} \left \langle 1,2,3,4,...,23,24 \right \rangle$$ in 24-space, find the sum of all the directional cosines. If the sum of all directional cosines can be represented in the form $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are relatively prime, find $$a+b$$.

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