Let {P} be a plane passing through the points (1,0,1),(1,-2,1) and (0,1,-2). Let a vector {{a}}^{\to}=\\alpha\stackrel{\^}{{i}}+\\beta\stackrel{\^}{{j}}+\\gamma\stackrel{\^}{{k}} be such that {{a}}^{\to} is parallel to theplane {P}, perpendicular to ({{i}}^{\^}+2 \stackrel{\^}{{j}}+3 \stackrel{\^}{{k}}) and{{a}} ^{\to}\.({{i}}^{\^}+{{j}}^{\^}+2 {{k}}^{\^})=2, then (\\alpha-\\beta+\\gamma)^{2} equals _______. [20 Jul 2021 Shift 1]

Three Dimensional Geometry Part 2

Section: Mathematics

Question : 64 of 100

Marks: +1, -0

Let P be a plane passing through the points (1,0,1),(1,−2,1) and (0,1,−2). Let a vector

→

=α

+β

+γ

be such that

→

is parallel to theplane P, perpendicular to (

) and

→

)=2, then (α−β+γ)2 equals _______.

[20 Jul 2021 Shift 1]

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