Let 0 2q . r A pq r p qr æ ö ç ÷ = – ç ÷ ç ÷ è ø – If AAT = I3 , then |p| is :

Question:

Let $A=\left(\begin{array}{ccc}0 & 2 \mathrm{q} & r \\ p & q & -r \\ p & -q & r\end{array}\right)$. If $\mathrm{AA}^{\mathrm{T}}=\mathrm{I}_{3}$, then $|\mathrm{p}|$ is :

  1. $\frac{1}{\sqrt{5}}$

  2. $\frac{1}{\sqrt{3}}$

  3. $\frac{1}{\sqrt{2}}$

  4. $\frac{1}{\sqrt{6}}$


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Jan. 11, 2019 (I)

Solution:

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