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Question on vectors.

  1. Dec 1, 2007 #1
    What is the maximum resultant of a 1 centimeter vector and a 4 centimeter vector? What is the minimum?

    This questions is like foreign to me. I am rather keen with vectors; however, I have never seen a question like this.

    Help. please.
     
  2. jcsd
  3. Dec 1, 2007 #2

    cristo

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    Ok, so first you should ask yourself "what is the resultant of two vectors."
     
  4. Dec 1, 2007 #3
    i believe it is 4
     
  5. Dec 1, 2007 #4
    dont i use a2+b2=c2
     
  6. Dec 1, 2007 #5

    James R

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    When you add the two vectors head to tail, what's the longest vector you can end up with? What is the shortest one?
     
  7. Dec 1, 2007 #6
  8. Dec 1, 2007 #7
    5 is correct, 4 is not. Try [tex]\vec{V_{1}} + \vec{V_{2}}[/tex] where [tex]\hat{V_{1}} = - \hat{V_{2}}[/tex].
     
  9. Dec 1, 2007 #8
  10. Dec 1, 2007 #9
    The vectors can have an opposite direction.
     
  11. Dec 1, 2007 #10

    rock.freak667

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    Ok...how did you get 5 and what was your reasoning behind it?
     
  12. Dec 1, 2007 #11
  13. Dec 1, 2007 #12

    rock.freak667

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    if that would give you the largest resultant...what do you think would give you the least?
     
  14. Dec 2, 2007 #13
  15. Dec 2, 2007 #14
    <4,0> + <1,0> produces <5,0>

    <1,0> + (-4,0> produces <-3,0>
     
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