The points A, B, and C have position vectors i + 2j + 3k, -4 + 5j - k and 4i - k respectively. The point D is on the line segment AB such that 2AD = DB.
i) Find the position vector of D.
ii) Find the equation of the plane which passes through D and is perpendicular to AB.
iii) Find the position vector of the point E in which the line through C parallel to the vector i - 2j - k meets the plane.
iv) Find the perpendicular distance of E from the line AB.
I apologise for the sheer number of sub-questions, but I'm really confused. My lecturer's workings are elegant, but lack detail, and I really don't get them. Any help'd be very much appreciated. If you were to answer this question, could you include your working? I'd like to study others' workings when it comes to solving vector questions instead of just my own, my lecturer's, or my classmates'. Thanks!
2007-05-29
05:05:45
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3 answers
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asked by
kimiessu
2
in
Mathematics