This is a continuation from H2 Maths Tuition: Foot of Perpendicular (from point to line) (Part I).
Foot of Perpendicular (from point to plane)
From point (B) to Plane ( )
Where does F lie?
F lies on the plane .
Substitute Equation (II) into Equation (I) and solve for k.
[VJC 2010 P1Q8i]
The planes and have equations and respectively. The point has position vector .
(i) Find the position vector of the foot of perpendicular from to .
Let the foot of perpendicular be F.
Subst. (II) into (I)
Solve for k, .
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