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:Position, at least in 3-space, is represented as: (x, y, z), right? What is the difference between using that and [x y z]? Position, you might say, is implicitly a vector. Distance is not. If a position vector is r then distance = |r| or |δr| (δr, by the way, is displacement). |
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:Position, at least in 3-space, is represented as: (x, y, z), right? What is the difference between using that and [x y z]? Position, you might say, is implicitly a vector. Distance is not. If a position vector is r then distance = |r| or |Δr| (Δr, by the way, is displacement). |
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:::Is there any other way to defin position but as desplacement from the origin? :::I suppose that position is unique in that respect (not being additive), because I tried to come up with a good mathematical definition of bound vector from the example, and this is the best I could come up with: When transforming from one reference frame to another that is related to the first by only a translation, the following occurse:
When the transformation only involves a change in handedness (i.e. the transformation matrix is something of the form [±1 0 0] [0 ±1 0] [0 0 ±1]):
Maybe this will clear things up.--BlackGriffen |
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