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(Solved): ZIMSEC JUNE 2019 PAPER 2 The plane \pi has vector equation r.([4],[-1],[3])=1. The points P and Q h ...



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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