True or False: Magnitude (v+v) = 2*Magnitude (v)

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Homework Help Overview

The discussion revolves around a true or false question regarding the magnitude of a vector expression, specifically whether magnitude (v + v) equals 2 * magnitude(v). The context is set within a calculus course, focusing on vector operations.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore the validity of the statement by considering vector properties and magnitudes. Some reflect on their reasoning and previous experiences with similar problems, while others question the implications of the vectors involved.

Discussion Status

The discussion includes various interpretations of the problem, with some participants expressing initial confusion about the statement's correctness. There is a mix of agreement and humor regarding the understanding of vector properties, but no explicit consensus has been reached.

Contextual Notes

Some participants mention the potential for misunderstanding due to the phrasing of the question, suggesting that different vector combinations could lead to different interpretations. The discussion also touches on the nature of vectors, including humor about mathematical concepts.

Mdhiggenz
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Homework Statement



So I took my calc 3 exam today and had this question

true or false

magnitude ( v+v) = 2*magnitude( v)

I put true.

Thoughts?


Homework Equations





The Attempt at a Solution

 
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You got it correct. Were you just guessing?
 
No I did a problem where I had to solve for K in the magnitude give the value of v. Pretty much I took k from the magnitude and solved for it. So I was hoping the same thing applied here.
 
LCKurtz said:
You got it correct.
Really? I don't see how this is correct.
 
oay said:
Really? I don't see how this is correct.

If ##\vec v = \langle a,b,c\rangle## what do you get for ##|\vec v|## and ##|2\vec v|##?
 
LCKurtz said:
If ##\vec v = \langle a,b,c\rangle## what do you get for ##|\vec v|## and ##|2\vec v|##?
Sorry, of course it's correct.

I was having a senile moment when I was imagining the two vectors weren't the same! D'oh! :redface:
 
oay said:
Sorry, of course it's correct.

I was having a senile moment when I was imagining the two vectors weren't the same! D'oh! :redface:

Don't feel to bad about that. My first reaction was the same because I was expecting the question to read u+v since, in my opinion, that would have been a better question. Only after I started my reply did I realize the OP had v+v.
 
oay said:
Sorry, of course it's correct.

I was having a senile moment when I was imagining the two vectors weren't the same! D'oh! :redface:
Did the same thing here. :smile:
 
LCKurtz said:
Don't feel to bad about that. My first reaction was the same because I was expecting the question to read u+v since, in my opinion, that would have been a better question. Only after I started my reply did I realize the OP had v+v.
vela said:
Did the same thing here. :smile:

I obviously need to learn to read twice before posting. Something which you two are obviously better at than me! :smile:
 
  • #10
If v happened to be perpendicular to itself, the original statement wouldn't be true.:-p

(The zero vector not included, of course.)
 
  • #11
Mark44 said:
If v happened to be perpendicular to itself, the original statement wouldn't be true.:-p

(The zero vector not included, of course.)

Now you've lost me!
 
  • #12
Math humor...

A nonzero vector can't be perpendicular to itself.
 
  • #13
Mark44 said:
Math humor...

A nonzero vector can't be perpendicular to itself.

What if it's bent?
 

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