Let a unit vector \stackrel{◠}{ {\OP}} make angle \alpha, \beta, \gamma with the positive directions of the co-ordinate axes {\OX}, {\OY}, {\OZ} respectively, where \beta \in (0, \frac{\pi}{2}) \stackrel{◠}{ {\OP}} is perpendicular to the plane through points (1, 2, 3), (2,3,4) and (1,5,7), then which one of the following is true ? [30-Jan-2023 Shift 1]

Correct Answer is : α∈(π2,π) and γ∈(π2,π)

\alpha \in (\frac{\pi}{2}, \pi) and \gamma \in (\frac{\pi}{2}, \pi)

\alpha \in (0, \frac{\pi}{2}) and \gamma \in (0, \frac{\pi}{2})

\alpha \in (\frac{\pi}{2}, \pi) and \gamma \in (0, \frac{\pi}{2})

\alpha \in (0, \frac{\pi}{2}) and \gamma \in (\frac{\pi}{2}, \pi)

JEE Mains 30-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 73 of 90

Marks: +1, -0

Let a unit vector

◠

make angle α,β,γ with the positive directions of the co-ordinate axes OX,OY, OZ respectively, where β∈(0,‌

)

◠

is perpendicular to the plane through points (1, 2, 3), (2,3,4) and (1,5,7), then which one of the following is true ?

[30-Jan-2023 Shift 1]

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