A vector vec{A} is rotated by a small angle D | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) When a vector $\vec{A}$ is rotated by a small angle $\Delta 	heta$,the magnitude of the vector remains unchanged,so $|\vec{A}| = |\vec{B}| = A$.T

Vedclass · Accepted Answer

$|\vec{A}| \Delta 	heta$

Vedclass · Answer

(A) When a vector $\vec{A}$ is rotated by a small angle $\Delta 	heta$,the magnitude of the vector remains unchanged,so $|\vec{A}| = |\vec{B}| = A$.The difference vector $\vec{B} - \vec{A}$ represents the chord length between the tips of the two vectors.For a very small angle $\Delta 	heta$,the chord length is approximately equal to the arc length of the circle traced by the tip of the vector.Using the relation $	ext{Arc length} = 	ext{radius} 	imes 	ext{angle}$,we have:$|\vec{B} - \vec{A}| \approx |\vec{A}| \Delta 	heta$.

$A$ vector $\vec{A}$ is rotated by a small angle $\Delta \theta$ radian $(\Delta \theta \ll 1)$ to get a new vector $\vec{B}$. In that case,$|\vec{B} - \vec{A}|$ is

Similar Questions

A body cools from $100^\circ C$ to $60^\circ C$ in $20$ minutes, the temperature of the surroundings being $20^\circ C$. The total time taken (in minutes) for the body to cool down to $40^\circ C$ is ...

If the magnitude of a physical quantity is zero,can it be a vector? Give a suitable example.

If $|\vec{v}_1 + \vec{v}_2| = |\vec{v}_1 - \vec{v}_2|$ and $\vec{v}_1$ and $\vec{v}_2$ are finite,then:

If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$,then the value of $c$ is

Find the unit vector in the direction of $2\hat{i} + 3\hat{j} + 4\hat{k}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module