Is My Vector Magnitude Calculation Correct?

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Homework Help Overview

The discussion revolves around calculating the magnitude of the vector sum of two vectors, given their magnitudes and the dot product. The subject area is vector mathematics.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of the magnitude of the sum of two vectors using the formula for the square of the magnitude. There are attempts to clarify notation and ensure the correct representation of vector magnitudes.

Discussion Status

Some participants express agreement with the calculations presented, while others provide feedback on notation clarity. The discussion appears to be constructive, with participants engaging in verification of the approach taken.

Contextual Notes

There is a mention of notation difficulties, specifically regarding the representation of vector magnitudes, which may affect clarity in communication.

Math9999

Homework Statement


If \parallel u\=2, \parallel v\=√3, and u*v=1, find \parallel u+v\.

Homework Equations


None.

The Attempt at a Solution


(u+v)(u+v)=(\parallel u\)2+2uv+(\parallel v\)2=4+3+2=9
\parallel u+v\\=3
So the answer I got is 3. Am I right? If not, then please correct me.
 
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Looks good to me.
 
Math9999 said:
If \parallel u\=2, \parallel v\=√3, and u*v=1, find \parallel u+v\.
Your notation is difficult to read. For magnitudes, which I think is what you're trying to convey here, just use the "pipe" character - |. On my keyboard it is above the backslash key, \.
 
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If ||u||=2, ||v||=√3, and u⋅v=1, find ||u+v||.

Here's my work:
||u+v||2=(u+v)(u+v)=||u||2+2uv+||v||2=4+3+2=9
||u+v||=3
So the answer I got is 3. Am I right? If not, then please correct me.
 
Still looks good to me.
 
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Thank you so much!
 

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