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Let a ˆ and b ˆ be two unit vectors such that 2 | ) b ˆ a ˆ

1. b ˆ a ˆ ( | = × + + . If ) , 0 ( π ∈ θ is the angle between a ˆ and b ˆ , then among the statements : (S1) : | b ˆ a ˆ | ) b ˆ a ˆ ( 2 − = × (S2) : The projection of a ˆ on ) b ˆ a ˆ ( + is 2 1
2. Only (S1) is true
3. Only (S2) is true
4. Both (S1) and (S2) are true (4) Both (S1) and (S2) are false

Correct answer: Only (S2) is true

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