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The straight line l has eqn r=i+6j-3k+s(i-2j+2k). The plane p has eqn (r-3i)*(2i-3j+6k)=0. The line l intersects the plane p at the point A. (i) Find the position vector of A. (ii) Find the acute angle between l and p. (iii) Find a vector eqn for the lien which lies in p, passes through A and is perpendicular to l.
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