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Math Help - Equation of a line

  1. #1
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    Equation of a line

    Find the Cartesian form of the equation of the straight line l1 which passes through the point p=(2,3,0) and q=(0,1.2).
    Find also the Cartesian form of the equation of a straight line l2 which passes through p, is perpendicular to l1 and parallel to the plane Oxy.

    I have done the first part by using the equation of a straight line passing from two points, but for part b I don't know how to deduce it. Any help would be appreciated!
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint : The line l_2 is in the direction of \vec{pq}\times (0,0,1).
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  3. #3
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    So the equation of my line would be p+t(pq x (0,0,1)), where p is my point, t is a parameter and pq x (0,0,1) is the cross product between pq and (0,0,1) which in my case is the direction of the line? Thanks you!
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Darkprince View Post
    So the equation of my line would be p+t(pq x (0,0,1)), where p is my point, t is a parameter and pq x (0,0,1) is the cross product between pq and (0,0,1) which in my case is the direction of the line?

    Right.
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  5. #5
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    Thank you!
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