ZIMSEC JUNE 2019 PAPER 2 The plane pi has vector equation r.([4],[-1],[3])=1. The points P and Q have coordinates (-5;1;3) and (2;4;-1) respectively. (i) Show that Q lies on plane pi . [2] (ii) Find the a) equation of the line perpendicular to pi through P, [2] b) Cartesian equation of the line PQ. [3] (iii) Calculate the a) acute angle betwee

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ZIMSEC JUNE 2019 PAPER 2 The plane  pi  has vector equation r.([4],[-1],[3])=1. The points P and Q have coordinates (-5;1;3) and (2;4;-1) respectively. (i) Show that Q lies on plane  pi . [2] (ii) Find the a) equation of the line perpendicular to  pi  through P, [2] b) Cartesian equation of the line PQ. [3] (iii) Calculate the a) acute angle between  pi  and l. [4] b) shortest distance from the P to  pi . [5]

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