Let \overrightarrow{{a}}, {{b}}^{\to}, \overrightarrow{{c}} be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle \\theta, with the vector \overrightarrow{{a}}+{{b}}^{\to}+{{c}}^{\to}. Then 36 \cos ^{2} 2 \\theta is equal to _______. [20 Jul 2021 Shift 1]

JEE Main 20 July 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 81 of 90

Marks: +1, -0

Let

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be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle θ, with the vector

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. Then 36cos22θ is equal to _______.

[20 Jul 2021 Shift 1]

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