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Math Help - Intersection of two vectors

  1. #1
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    Intersection of two vectors

    Let a and b be non-zero vectors which are not parallel to each other. Further let OX = a + λb be the vector equation of a line l1 and let OX = 2a + μ(a + b) be the vector equation of a line l2 (with λ,μ real numbers). Express the position vector of the intersection of the two lines l1 and l2 in terms of a and b.
    I dont really even know where to start with this? Id be really greatful for some help
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  2. #2
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    Quote Originally Posted by renlok View Post
    I dont really even know where to start with this? Id be really greatful for some help
    Calculating the point of intersection:

    a + \lambda b=2a + \mu(a+b)

    a + \lambda b=(2+\mu) a + \mu b

    That means:

    2+\mu = 1~\wedge~ \lambda = \mu

    I'll leave the rest for you.
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