Find a vector c that bisects the angle

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    Angle Vector
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Discussion Overview

The discussion revolves around finding a vector that bisects the angle between two given vectors in three-dimensional space. The scope includes mathematical reasoning and vector geometry.

Discussion Character

  • Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant seeks assistance in finding a vector c that bisects the angle between the vectors a = i + 5j − 2k and b = −3i + j + 6k.
  • Another participant questions the geometric interpretation of adding two vectors, suggesting a connection to the problem.
  • A third participant expresses difficulty in extending their understanding of vector addition from two dimensions to three dimensions.
  • A moderator reminds participants not to post the same question in multiple places.

Areas of Agreement / Disagreement

There is no consensus on the method to find the angle bisector, and multiple perspectives on the problem are presented without resolution.

particleaccelerater
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this is my first post. thanks in advance for the help

Find a vector c that bisects the angle between the vectors a = i + 5j − 2k andb = −3i + j + 6k.
 
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particleaccelerater said:
this is my first post. thanks in advance for the help

Find a vector c that bisects the angle between the vectors a = i + 5j − 2k andb = −3i + j + 6k.
What is the geometric shape that comes to mind from adding two vectors ?
 
i can do this in 2d but not 3d
 
Please do not post the same question in more than one place.

- Warren
 

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