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Homework Help: Is my work correct?

  1. Dec 17, 2012 #1
    1. The problem statement, all variables and given/known data

    A line has direction angles 60°, 45°, 60° and passes through the point (1, -2, 5). Determine vector, parametric and symmetric equations of this line.

    2. Relevant equations

    3. The attempt at a solution

    1/2 i + [root 2]/2 j +1 /2 k
    parametric equation will be [1 ,-2, 5]
    x= 1/2t+1
    y=[root 2] /2 t+2
    z=1/2 t+5

    [x,y]= [1,2] + t[1/2,root2/2]

    [x-1]/.5= {y-2]/[root2/2]}=[z-5]/.5

    thats my final answer.... please check if i have done it the proper way...
  2. jcsd
  3. Dec 24, 2012 #2


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    Homework Helper

    Hey archer. I hope this reply is not too late for you. Anyway, you are very close to the parametric equation of the line. Remember the line passes through the point (1,-2,5) So your equation has one slight mistake in it.

    Again, you are really close, the x and z parts are correct, but you have made the same slight mistake with the y part.

    This is part of the answer for the vector equation of the line, but there is more. hint: will this vector equation take you from the origin to any general point on the line?
  4. Dec 24, 2012 #3
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