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?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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