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

Question

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

Examsnet · Accepted Answer

Correct Answer is : Both 1 and 2

NDA Math Vector Algebra