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Point line and the distance

  1. May 13, 2008 #1
    1. The problem statement, all variables and given/known data
    1. please help me find the distance from the point (0, 0 ,0) to the line
    [tex]x=4-t, y=3+2t, z=-5+3t (-\nfty<t<\infty)[/tex]

    2. find the distance between the point (3, 1, -2) and the plane [tex]x+2y-2z=4[/tex]

    3 find the principle unit notmal N, the curvature , and the radius of curvature for the plane curve [tex]r(t)=ti+(sint)j[/tex]


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 13, 2008 #2

    dx

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    Show your attempt.
     
  4. May 13, 2008 #3

    HallsofIvy

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    If we won't even try, we have no idea what methods would be appropriate!

    Most calculus textbooks give FORMULAS for "distance to a line" and "distance to a plane". Can you use them?

    Do you know how to find the line, through a point, perpendicular to a given point?

    Do you know how to find the line, through a point, perpendicular to a given plane?

    Do you understand why those would be useful for this problem?
     
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