A vector of length $l$ is turned through the angle $\theta$ about its tail. What is the change in the position vector of its head-

Q. A vector of length l is turned through the angle $\theta$ about its tail. What is the magnitude change in the position vector of its head?

Q. A vector of length $\ell$ is turned through the angle $\theta$ about its tail then the change in the position of vector's head is :-

Q. A uniform rod of length $L$ is free to rotate in a vertical plane about a fixed horizontal axis through $B$. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle $\theta$, its angular velocity $\omega$ is given as:

Q. A uniform rod of length $L$ is free to rotate in a vertical plane about a fixed horizontal axis through $B$. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle $\theta$, its average angular velocity $\omega$ is given as:

Q. A vector of magnitude $|\Psi |$ is turned through angle $\frac{\varphi }{2}$. The magnitude of change in the vector is given by