QJEEAdv17Mac807: JEE Advanced 2017 Physics - Class 11 JEEAdv17Mac807 Solution:

Question

Verified Solution • 2025–26 Session moderate

|

\vec{O X}

\times

\vec{O Y}

| = ?

Accepted Answer

JEE Advanced 2017 Paper 2 Offline Mathematics - Vector Algebra Question 10 English Explanation

Now, $\vec{O X} = \frac{\vec{Q R}}{Q R}$

and $\vec{O Y} = \frac{\vec{R P}}{R P}$

Therefore, $(\vec{O X} \times \vec{O Y}) = \frac{\vec{Q R}}{Q R} \times \frac{\vec{R P}}{R P} = \frac{\vec{Q R} \times \vec{R P}}{P Q}$

$= \frac{P Q \sin R}{P Q} = \sin R = \sin (π - (P + Q) = \sin (P + Q))$

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