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Lecture 2: Digital Drawing (44)
rsha256

I found it very insightful to think of this in terms of the alternate dot product equation: VN=VNcos(θ)V\cdot N=\|V\|\|N\|\cos(\theta).

The magnitude doesn't matter since we only care about the sign.

  • If the cosine's angle is in [0, 90) then the x-position is positive as we are in Q1.
  • If the cosine's angle is 90 then the x-position 0.
  • If the cosine's angle is [90, 180) then the x-position is negative as we are in Q3.

Note that we cannot be greater or equal than 180 for any one degree in the triangle per the triangle inequality/definition of a triangle (has 180 degrees total).

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