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junior college 1 | H1 Maths
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Let F be the foot of perpendicular from (2, 2, 4) to the plane.
Let A' be the reflection of A in the plane.
1. vector OF = (2, 2, 4) + t(4, 7, 8) where t is real
2. vector OF . (4, 7, 8) = 19, then solve for t
3. Obtain vector OF
4. By midpoint theorem,
vector OF = 1/2 (vector 0A + vector OA'), then find vector OA'
Answers:
a = -22/129
b = -232/129
c = -44/129
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