What is the magnitude of r'(t) if r'(t) is <1,2t,3t2>?

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In summary, "Silly magnitude questions" are used in science to compare something to something else that is extremely large or small in order to help people understand the size and scale of objects and events in the universe. They can be used in serious scientific discussions as a tool for explaining complex concepts and can have practical applications in various fields of science.
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ProPatto16
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Homework Statement


whats |r'(t)| if r'(t) is <1,2t,3t2>


Homework Equations





The Attempt at a Solution



im finding normal and binormal vectors and i need to divide r(t)/r'(t)

|r'(t)| = sqrt (12+(2t)2+(3t2)2)

how does that simplify down to something that can be an appropriate denominator for r(t)=<t,t2,t3>
 
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  • #2
It is
[tex]\sqrt{1+ 4t^2+ 9t^4}[/tex]
but it really does not reduce any more than that.
 
  • #3
yeah. just looks like its going to be a longwinded ridiculous question
 

FAQ: What is the magnitude of r'(t) if r'(t) is <1,2t,3t2>?

What is a "Silly magnitude question"?

A "Silly magnitude question" is a question that asks about something that is extremely large or small in comparison to something else. It is often used to emphasize the absurdity of the comparison.

Why are "Silly magnitude questions" used in science?

"Silly magnitude questions" are used in science to help people understand the size and scale of objects and events in the universe. By comparing something to something else that is easily recognizable, it can help put things into perspective and make them easier to understand.

Can "Silly magnitude questions" be used in serious scientific discussions?

Yes, "Silly magnitude questions" can be used in serious scientific discussions. They can be a useful tool for explaining complex concepts and making them more relatable to the general public.

Are "Silly magnitude questions" only used in astronomy and astrophysics?

No, "Silly magnitude questions" can be used in any field of science where there is a need to illustrate the size or scale of something. They can be used in biology, chemistry, physics, and other scientific disciplines.

Do "Silly magnitude questions" have any practical applications?

Yes, "Silly magnitude questions" can have practical applications in science. They can help scientists and researchers understand the vastness of the universe and the extreme conditions that exist in different parts of it. They can also help the general public better understand scientific concepts and discoveries.

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