Is My Vector Magnitude Calculation Correct?

  • Thread starter Math9999
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In summary, the problem asks to find the magnitude of the vector u+v given the magnitudes of u and v and their dot product. Using the formula for magnitude, the answer is 3.
  • #1
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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  • #2
Looks good to me.
 
  • #3
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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  • #4
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.
 
  • #5
Still looks good to me.
 
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  • #6
Thank you so much!
 

FAQ: Is My Vector Magnitude Calculation Correct?

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