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]