Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let P be a plane passing through the points (1, 0, 1), (1,−2, 1) and (0, 1,−2). Let a vector 
be such that 
is parallel to the plane P, perpendicular 
to and 
, then 
equals ___
Text Solution
Verified by ExpertsThe correct answer is:
81
(81)
Equation of plane :
⇒ 3x − z − 2 = 0
to 3x-z-2=0
⇒ 3α − 8 = 0....(1)
⇒ α + 2β + 38 = 0...(2)
⇒ α + β + 28 = 2...(3)
on solving 1, 2&3
α = 1, β = −5, 8 = 3
So (α − β + 8) = 81
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