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The position vectors of points A and B are OA=q21 vector a  and OB = q21 vector b  .A point M is on AB such that AM = ½AB and a point N is on OB such that ON:NB= 1:3.  

Find:  

  1. AB 
  2. NM; 
  3. lNMl, correct to 1 decimal place. 
  4.  A translation vector maps A onto A'(5,−1). Find the coordinates of the image of B under the translation vector.  

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Vector position and calculations 

  1. AB= (−2) + (12 ) = (10 )
           (−4)     (−4)    ( −8)

  2. Equation q21 ii

  3. position vector biii
            =√17
            =4.123
            ≈4.1
  4. T=A−1−A
    answer 21b
    ∴ B1(15,−9)
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