Vector addition; spherical coordinates

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SUMMARY

The discussion centers on vector addition in spherical coordinates, specifically how to find the position vector of point (2) given a position vector of point (1) and a unit vector R1,2. The unit vector, expressed as [Aex - Bey + Cez], indicates the direction to point (2). To determine the position vector of point (2), one must multiply the unit vector by the distance of 5m and then add this result to the position vector of point (1). This method ensures accurate vector addition in three-dimensional space.

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  • Understanding of spherical coordinates
  • Familiarity with vector operations
  • Knowledge of unit vectors
  • Basic principles of three-dimensional geometry
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Roodles01
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Should be quite easy, really, given that it's just adding things together, hey ho.

Problem
a position vector of point (1), identified by sherical coordinates, is 5m away from point (2).
I have a unit vector R1,2 identified by spherical coordinates [Aex - Bey +Cez], giving the direction to point 2.
How do I find the position vector of point 2

Do I just add 5.0m to each element? Of course not, but how do I do it, please?
 
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No, multiply your unit vector by 5 and add that.
 

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