JEE PYQ: Vector Algebra - Question ID 658c290eaf1e (JEE Main 2024)

ID: 658c290eaf1eJEE Main 2024Numerical Value

Three vectors OP,OQ\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}} and OR\overrightarrow{\mathrm{OR}} each of magnitude A\mathrm{A} are acting as shown in figure. The resultant of the three vectors is Ax\mathrm{A} \sqrt{x}. The value of xx is _________.

JEE Main 2024 (Online) 8th April Morning Shift Physics - Vector Algebra Question 5 English

JEE Question illustration 658c290eaf1e

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Step-by-step Explanation

(P+Q)=2AR=Aθ=90 Resultant =3A\begin{aligned} &\begin{aligned} & (\vec{P}+\vec{Q})=\sqrt{2} A \\ & R=A \\ & \theta=90^{\circ} \end{aligned}\\ &\text { Resultant }=\sqrt{3} A \end{aligned}