November 2019 1 58 Report
The plane \pi has equation r \bullet(i+2j-3k)=5
The line L passes through the point P with position vector 7i+4j-6k, and is parallel to 7i+3j-5k
(i) State the perpendicular distance from the origin to the plane \pi
(ii) Find the acute angle between the line L and the plane \pi
(iii) Find the position vector of the foot of the perpendicular from the point P to the plane \pi. Hence find the position vector of the reflection of the point P in \pi
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