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Thread: Vector Help!

  1. #1
    Junior Member
    Feb 2008

    Vector Help!

    A line L1 passes through point A, with position vector $\displaystyle 5i + 3j$, and the point B, with position vector $\displaystyle -2i -4j +7k$.

    a) Write down equation for line L1

    i got the equation of line L1 as: $\displaystyle r = a + \lambda[(b-a)] $ :

    $\displaystyle r = \left(\begin{array}{c}5\\3\\0\end{array}\right) + \lambda \left(\begin{array}{c}-7\\-7\\7\end{array}\right)$

    A second line L2 has equation: $\displaystyle r = i - 3j - 4k + \mu(i + 2j + 3k)$

    b) Show that L1 and L2 are perpendicular to each other.

    c) Show that the two lines meet, and find the position vector of th epoint of inersection.

    I need help with parts (b) and (c) assuming my part (a) is correct.

    Thank You
    Last edited by Stylis10; Apr 26th 2008 at 07:59 AM.
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  2. #2
    Apr 2008
    this may clear things up, found it very useful myself

    Index of /documentsfp3/vectors%20cartesian%20eqn%20of%20a%20line.doc
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