Let \stackrel{\^}{a} and \stackrel{\^}{b} be two unit vectors such that the angle between them is \frac{\pi}{4}. If \theta is the angle between the vectors (\stackrel{\^}{a}+\stackrel{\^}{b}) and (\stackrel{\^}{a}+2 \stackrel{\^}{b}+2(\stackrel{\^}{a} \times \stackrel{\^}{b})), then the value of 164 \cos ^2 \theta is equal to : [29-Jul-2022-Shift-1]

JEE Mains 29-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 14 of 90

Marks: +1, -0

Let

and

be two unit vectors such that the angle between them is ‌

. If θ is the angle between the vectors (

) and (

+2(

)), then the value of 164cos2θ is equal to :

[29-Jul-2022-Shift-1]

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