Find Ratio ||v||/||u|| for u and v

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Homework Help Overview

The discussion revolves around finding the ratio of the magnitudes of two vectors, u and v, defined as u = (−1, 2, 1) and v = (3, 3, 6). Participants are examining the calculations related to the magnitudes of these vectors.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the magnitudes of the vectors and their ratio but questions the correctness of their result. Other participants engage by agreeing with the original poster's calculation and suggesting verification of the problem statement.

Discussion Status

The discussion includes some participants affirming the original poster's calculation of the ratio as correct, while others suggest confirming the problem's wording before proceeding further.

Contextual Notes

There is a suggestion to verify the problem statement against the source material, indicating potential discrepancies in the problem setup or interpretation.

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Homework Statement



For u = (−1, 2, 1) and v = (3, 3, 6) find the ratio ||v|| / ||u||

Homework Equations



|| u || = (u^2 + u2^2 + ...un^2)^.5

The Attempt at a Solution



I found the || u || to be 6^(1/2) and || v || to be 54^(1/2)
Therefore the ratio should be 54^(1/2) divided by 6^(1/2), which calculates to 3. It turns out the answer is incorrect. Can anyone show me where I went wrong?

Thanks.
 
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Nowhere.
 
I agree. The ratio is 3.

[tex]\frac{\sqrt{54}}{\sqrt{6}}~=~\frac{3\sqrt{6}}{\sqrt{6}}=~3[/tex]
 
Okay thanks. I'll have to tell my instructor about it.
 
Before you do, make sure that the problem you posted here is exactly the same as in your book or wherever this problem came from.
 

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