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Vectors and velocity

  1. Jul 30, 2012 #1
    In this question the unit vectors i and j are due east and north respectively and position vectors are given with respect to a fixed origin O.

    A ship S is moving with constant velocity (2i−3j) km h−1 and a ship R is moving with constant velocity 6i km h−1.

    a Find the bearing along which S is moving.

    At noon S is at the point with position vector 8i km and R is at O. At time t hours after noon, the position vectors of S and T are s km and r km respectively.

    b Find s and r, in terms of t.

    At time T hours, R is due north-east of S. Find

    c the value of T,

    d the distance between S and R at time T hours.


    I need help with part c)

    Answer to a) 56.3, b) s=8i+(2i−3j)t - r=6ti

    For part c i'm confused; if R is due south east of S, would it not mean the i and j components would be the same? Well it's wrong and if I do go on to equate the i and j components then I get T = 2, which is incorrect - the right answer is T = 8.

    Cheers
     
  2. jcsd
  3. Jul 31, 2012 #2

    ehild

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    R is due north-east of S. The i and j components of what are equal?

    ehild
     
  4. Jul 31, 2012 #3
    S and R I think
     
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