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Math Help - Another vectors question

  1. #1
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    Another vectors question

    (a) The position vectors of the points A and B, relative to a fixed origin O, are i + 3j 2k and
    3i + 6j + k, respectively.
    (i) Find AB.
    (ii) Find the vector equation of the line AB.
    (iii) The vector equation of the line L is r = 2i + 3j + 7k + μ (i + j + 4k).
    Given that L and AB intersect, find the position vector of the point of intersection. [9]
    (b) Find the angle between the vectors i + 2j k and 3i j + 2k. [6]

    For AB I have 2i + 3j + 3k
    and the vector equation is i+3j-2k + t(2i+3j+3k).

    For the position vector at the point of intersection I have -i - 5k.

    For the angle between the vectors I have 96.3 degrees.

    Have I done all of this correctly? Thank you very much if you can check my answers!
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  2. #2
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    Yes, they are all correct.
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