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

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The discussion centers on the question of how many vectors are present in the set {v1, v2, v3}, where v1 = (4,5,1), v2 = (12,14,3), and v3 = (31,38,8). The consensus is that there are three vectors in the set. However, there is ambiguity regarding whether the inquiry pertains to the linear independence of these vectors, which requires further analysis to determine if they span a vector space or are linearly dependent.

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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 definition 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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