Let \stackrel{\^}{a} and \stackrel{\^}{b} be two unit vectors such that |(\stackrel{\^}{a}+\stackrel{\^}{b})+2(\stackrel{\^}{a} \times \stackrel{\^}{b})|=2. If \theta \in(0, \pi) is the angle between \stackrel{\^}{a} and \stackrel{\^}{b}, then among the statements : ( {\S} 1): 2|\stackrel{\^}{a} \times \stackrel{\^}{b}|=|\stackrel{\^}{a}-\stackrel{\^}{b}| (S2) : The projection of \stackrel{\^}{a} on (\stackrel{\^}{a}+\stackrel{\^}{b}) is \frac{1}{2} [24-Jun-2022-Shift-2]

Correct Answer is : Both (S1) and (S2) are true.

JEE Main 24 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 16 of 90

Marks: +1, -0

Let

and

be two unit vectors such that |(

)+2(

)|=2. If θ∈(0,π) is the angle between

and

, then among the statements :
(S1):2|

|=|

−

|
(S2) : The projection of

on (

) is ‌

[24-Jun-2022-Shift-2]

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