Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

\vec{a} and \vec{b} are vectors such that \begin{vmatrix} \vec{a}\cdot \vec{a} & \vec{a}\cdot \vec{b}\\\vec{a}\cdot \vec{b} & \vec{b}\cdot \vec{b} \end{vmatrix}=16then \left | \vec{a} \times \vec{b} \right | equals

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

4


Answers (1)

best_answer

\begin{vmatrix} \vec{a}\cdot \vec{a} & \vec{a}\cdot \vec{b}\\\vec{a}\cdot \vec{b} & \vec{b}\cdot \vec{b} \end{vmatrix}=16\Rightarrow \left | \vec{a} \right |^{2}\left | \vec{b} \right|^{2}-(\vec{a}\cdot \vec{b})^2=16

\Rightarrow \left | \vec{a} \times \vec{b} \right |^{2}=16\Rightarrow \left | \vec{a} \times \vec{b} \right |=4

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Sigh of relief as JEE Main 2025 session 2 day 1 turns out easier than January exams
anam-khan

JEE Main 2025 April 2 shift 2 exam moderately difficult, math remains easy
anam-khan

JEE Main April 2 Exam Analysis 2025: Shift 1 maths easier compared to session 1; chemistry 'tough'

Latest Question