Exam

JEE Main

Year

2024

Date

9 April

Shift

Evening Shift

Subject

Physics

Chapter

Mathematics in Physics

JEE Main 2024 · 9 April · Evening Shift · Physics · Mathematics in Physics

The resultant of two vectors A and B is perpendicular to A and its...

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\vec{A}$ and its magnitude is half that of $\vec{B}$. The angle between vectors $\vec{A}$ and $\vec{B}$ is ______ $\circ$.

Step-by-step solution

$$\begin{aligned}& \mathrm{B} \cos \theta=\frac{\mathrm{B}}{2} \\ & \Rightarrow \theta=60^{\circ}\end{aligned}$$ So, angle between $\overrightarrow{\mathrm{A}} \& \overrightarrow{\mathrm{B}}$ is $90^{\circ}+60^{\circ}=150^{\circ}$