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    Should that be L = R + tV? Commented Dec 18, 2013 at 8:21
  • Thanks... I was answering this on a bus on my cell phone; surprised that was the only typo :) Commented Dec 18, 2013 at 13:44
  • You meant "when R is perpendicular to V", not "to L" Commented Dec 18, 2013 at 13:44
  • Well, V and L are parallel, so both statements are true, but V may be a more practical choice for implementation. Conceptually, L makes more sense to me. Commented Dec 18, 2013 at 21:07
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    @Dancrumb: no, in your equation above L is a point on the line, which is never a parallel vector to V (except for R=0). Commented Dec 19, 2013 at 8:56