Let \overrightarrow{a}, \overrightarrow{b} and \overrightarrow{c} be unit vectors such that \overrightarrow{a} \times \overrightarrow{b} is perpendicular to \overrightarrow{c}. If \theta is the angle between \overrightarrow{a} and \overrightarrow{b}, then which of the following is/are correct? 1. \overrightarrow{a} \times \overrightarrow{b}=\sin \theta \overrightarrow{c} 2. \overrightarrow{a} \cdot(\overrightarrow{b} \times \overrightarrow{c})=0 Select the correct answer using the code given below. [NDA-II 2021]

Correct Answer is : Both 1 and 2

UPSC NDA 2 2021 Mathematics Solved Paper

Question : 66 of 120

Marks: +1, -0

Let

→

and

→

be unit vectors such that

→

is perpendicular to

→

. If θ is the angle between

→

and

→

, then which of the following is/are correct?
1.

→

=sin‌θ‌

→

⋅(

→

)=0
Select the correct answer using the code given below.

[NDA-II 2021]

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