How many vectors are in {v1,v2,v3}

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The discussion centers on determining the number of vectors in the set {v1, v2, v3}, which contains three vectors: v1 = (4,5,1), v2 = (12,14,3), and v3 = (31,38,8). Participants express confusion about whether the question pertains to the count of vectors or their linear independence. Clarification is sought regarding the definition of linear independence. Ultimately, it is confirmed that there are three vectors in the set, suggesting that the initial question may have been misinterpreted. The conversation highlights the importance of precise questioning in mathematical discussions.
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Homework Statement



v1 = (4,5,1)
v2 = (12,14,3)
v3 = (31,38,8)

How many vectors are in {v1,v2,v3}?

Homework Equations


Not sure


The Attempt at a Solution



I'm not sure what the question is asking so I don't know where to begin.
 
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do you mean how many linearly independent vectors? that would make more sense...

what is the defintion of linear independence...
 
lvlastermind said:

Homework Statement



v1 = (4,5,1)
v2 = (12,14,3)
v3 = (31,38,8)

How many vectors are in {v1,v2,v3}?

Homework Equations


Not sure


The Attempt at a Solution



I'm not sure what the question is asking so I don't know where to begin.

Your set has three vectors in it. That was so simple that I suspect what you asked wasn't really the question.
 

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