What value will make these two vectors parallel?

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SUMMARY

The discussion centers on determining the value of c that would make the vectors w = 3i + 2j + 9k and v = 5i - j + ck parallel. Participants concluded that there is no value of c that can achieve this, as the components of the two vectors cannot be scaled to match each other. Attempts to find a common factor to equate the vectors were unsuccessful, confirming the impossibility of achieving parallelism between these specific vectors.

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kasda-1
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Homework Statement



What value of c will make these two vectors parallel?

Homework Equations



3i + 2j + 9k = w
5i - j + ck = v


The Attempt at a Solution




I tried too find a common factor to multiply by the w vector to get the components of the v vector, but no luck.

3i (5/3) + 2j (5/3) +9k (5/3) = 5i + 10/3 j + 45/3 k ≠ 5i - j +ck
 
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kasda-1 said:

Homework Statement



What value of c will make these two vectors parallel?

Homework Equations



3i + 2j + 9k = w
5i - j + ck = v


The Attempt at a Solution




I tried too find a common factor to multiply by the w vector to get the components of the v vector, but no luck.

3i (5/3) + 2j (5/3) +9k (5/3) = 5i + 10/3 j + 45/3 k ≠ 5i - j +ck

Would that lead you to conclude that there is no value of c that will make them parallel? Because that would be correct.
 
Dick said:
Would that lead you to conclude that there is no value of c that will make them parallel? Because that would be correct.

I thought and thought about this problem, wondering if this is a trick question. It probably is that simple :).
 

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