1. Determine the value of k so that the vectors u=<-3,k,4> and v=<3,-k,-4> are orthogonal. (3 Marks)
2. Find the parametric equation of a line passing through point (-1,2,7) and parallel to the vector r=(4,4, 2).
(3 Marks)
3. A particle move along a curve given by the position vector r=cos (?t)i+sin (?t)j. For ? a
constant. Find
(i) The velocity of the particle at any given time t. Show that the velocity is
perpendicular to the position vector r,
(ii) Acceleration of the particle and show that it’s directed towards the origin. (3,3 mks)
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