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Math Help - Vector Equations to scalar equation and back

  1. #1
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    Vector Equations to scalar equation and back

    the problem is

    1. Find vector and parametric equations for the line with equation 2x + y + 3 = 0.
    2. Determine a scalar equation for the line that passes through the point (-1, 5) and has direction vector = (1, −3).

    I am taking this coarse online and the content is no help please show me how it is done
    Thanks
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  2. #2
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    Re: Vector Equations to scalar equation and back

    FlammingKnife

    consider the line in 2D ax+by+c=0. Then the vector (-b,a) is always // to this line. you must know this....
    to find the parametric equation of a line you need the vector // to the line and one point of the line.
    in your case get one point of the line...example put x = 1 and find the y = -5

    therefore the parametric equations of the line 2x+y+3=0 are x= 1-t and y = -5 +2t.

    you may work similarly for the second question

    MINOAS
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