Finding s for Parallel Vectors in R3

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Homework Help Overview

The problem involves determining the value of "s" in the vector b=(2,-1,s) such that it is parallel to the vector a=(2,2,-1) in R3. The original poster attempts to establish the conditions for parallelism based on the ratios of the vector components.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the requirement for the ratios of the components of the vectors to be equal for them to be parallel. There is a question regarding the original poster's understanding of the problem setup and the specific question being asked.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original question and the conditions for vector parallelism. Some guidance has been offered regarding the nature of the vectors and their relationship to the origin.

Contextual Notes

There is a mention of the vectors meeting at the origin, which may imply a consideration of their geometric representation in R3.

75 johnson
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Homework Statement



Let a=(2,2,-1) and let b=(2,-1,s)

The Attempt at a Solution



dividing the i components gives you 1 but then dividing the j components gives you -1/2. I know that the ratio has to be the same for i, j, k in order for the two vectors to be paralle. i need to find s so they are parrallel. am i not seeing something?
 
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hi 75 johnson! :smile:

what exactly is the question? :confused:
 
i need to find "s" so that a and b are parallel
 
but a and b are vectors which meet at the origin (0,0,0) :confused:
 

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