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Math Help - vector questions

  1. #1
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    vector questions

    find the co-ordinates of the point of intersection of the lines whose equations are,  \frac{x}{1}= \frac{y}{3}=\frac{z}{2}\ and \ \frac{x-2}{1}=\frac{y-3}{4}=\frac{z-4}{2}
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  2. #2
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    Quote Originally Posted by ashes View Post
    find the co-ordinates of the point of intersection of the lines whose equations are,  \frac{x}{1}= \frac{y}{3}=\frac{z}{2}\ and \ \frac{x-2}{1}=\frac{y-3}{4}=\frac{z-4}{2}
    Re-write the equations:

    \left|\begin{array}{l}x = t\\y=3t\\z=2t\end{array}\right. ..... and ..... \left|\begin{array}{l}x=s+2\\y=4s+3\\z=2s+4\end{ar  ray}\right.

    Solve the system of simultaneous equations for s, t:

    \left|\begin{array}{l}t=s+2\\3t=4s+3\\2t=2s+4 \end{array}\right.

    I've got: (s, t) = (3, 5)

    Therefore the point of intersection is P(5, 15, 10)
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