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Jun 2 at 16:08 comment added Scene I appreciate your help! That does make sense.
Jun 2 at 15:40 comment added Simon F I'll add that to the answer above
Jun 2 at 15:40 history edited Simon F CC BY-SA 4.0
Added OPs follow-up question.
Jun 1 at 6:39 comment added Scene Thank you! As a follow-up question, how would one "add vectors" in the traditional sense with homogeneous coordinates? That is, if adding two position vectors gives the average, how do we obtain the vector sum representing the translation of a point to another point (e.g. $(a,b,c)+(x,y,z)=(a+x,b+y,c+z)$)? Adding a position vector to a direction vector does the trick (we end up with $w=1$), but I don't see how that geometrically makes sense.
May 31 at 21:25 vote accept Scene
May 31 at 8:28 history answered Simon F CC BY-SA 4.0