Simple Vector question.

  1. 1. The problem statement, all variables and given/known data
    This is a "exam style" question for A-Level mathematics regarding vectors. The question is as followed:

    Relative to a fixed origin O, the points A and B have position vectors 4i+3j-k and i+4j+4k respectively.

    (a) Find the vector equation of the line l1 which passes through A and B.

    The line l2 has equation r=22i+aj+4k+μ(bi-j+2k), where μ is scalar parameter and a and b are constants.
    The lines l1 and l2 are perpendicular and intersect. Find:

    (b) the values of a and b

    (c) the position vector of the point of intersection of l1 and l2

    2. Relevant equations
    Vector equation of a strait line through two points C and D:

    r=c+t(d-c)

    if there is any other ones, I am unfortunately unaware of

    3. The attempt at a solution

    Sadly I've been given no knowledge of how to do this question since vectors is not a part of my course. Therefore there are no attempts made


    4.Conclusion
    This question is really getting into my head and any help would be greatly appreciated.

    Regards,
    -A
     
    Last edited: Nov 27, 2011
  2. jcsd
  3. Mark44

    Staff: Mentor

    Then why don't you wait until vectors are presented in your course, or when you take a course where vectors are presented?
     
  4. Well the reason is that I've been told by my tutor that I will not be studying vectors.
     
  5. Mark44

    Staff: Mentor

    Then how do you expect to be able to solve problems that involve vectors?
     
  6. HallsofIvy

    HallsofIvy 40,308
    Staff Emeritus
    Science Advisor

    For this problem, all you really need to know is that a point with position vector ai+ bj+ ck has coordinates (a, b, c).
     
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