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Math Help - Vectors

  1. #1
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    Vectors

    Hi, I'm really confused and need some help

    Consider the vectors u = (3,4) v= (7,0), w= (6, -2) with endpoints U, V and W respectively

    c) Find the point P at which the directed line segment UW crosses vector v
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  2. #2
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    Quote Originally Posted by MathNoob23 View Post
    Hi, I'm really confused and need some help

    Consider the vectors u = (3,4) v= (7,0), w= (6, -2) with endpoints U, V and W respectively

    c) Find the point P at which the directed line segment UW crosses vector v
    Strictly speaking a vector does not have an "endpoint" so I presume you are thinking of the representation as "arrows" with one end at the origin.

    Then we can write vector v as the line segment from (0, 0) to (7, 0) (on the x-axis) which has parametric equations x= 7t, y= 0, with t going from 0 to 1.

    Similarly, the "directed line segment" UW is the line from (3,4) to (6, -2) which has "direction vector" <6- 3, -2- 4>= <3, -6> and parametric equations x= 3s+ 3, y= -6s+ 4 with going from 0 to 1. Is there a pair of values for t and s which give the same (x, y)?
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