9709/May June/3/2002/Q8

The straight line l passes through the points A and B whose position vectors are i + k and 4i - j + 3k respectively. The plane p has equation x + 3y - 2z = 3

i) Given that l intersects p, find the position vector of the point of intersection.

ii) Find the equation of the plane which contains l and is perpendicular to p, giving your answer in the form ax + by + cz = 1.

Solution:

Reference: PYQ - May/Jun 2002 Paper 3 Q8

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