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Math Help - Vectors - Equations of Lines

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    Vectors - Equations of Lines

    A line goes through the points (9,2) and (3,4). Determine its vector equation.


    How do you find the direction vector in this question? I forgot how to do this problem and my notes in my locker.
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    Quote Originally Posted by Macleef View Post
    A line goes through the points (9,2) and (3,4). Determine its vector equation.


    How do you find the direction vector in this question? I forgot how to do this problem and my notes in my locker.

    v=\underbrace{9 \vec i + 2 \vec j}_{head}-\underbrace{(3 \vec i + 4 \vec j)}_{tail}=6 \vec i -2 \vec j

    r(t)=r_0+tv \iff r(t)=9 \vec i + 2 \vec j +t(6 \vec i -2 \vec j)=(9+6t)\vec i +(2-2t)\vec j
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