Momentum of a body moving in a straight line is . Find the force acting on a body at t=2 sec
(1) 6 N
(2) 8 N
(3) 4 N
(4) 2 N
A particle moves along straight line such that at time t its position from a fixed point O on the line is . The velocity of the particle when t=2 is:
(A)
(B)
(C)
(D)
Coordinates of a moving particle are given by and . The speed of the particle is given by
(1)
(2)
(3)
(4)
The x and y components of vector are 4m and 6m respectively. The x, y components of vector are 10m and 9m respectively. The length of is ______ and angle that makes with the x axis is given by _______.
(A)
(B)
(C)
(D)
A particle travels with speed 50 m/s from the point (3, 7) in a direction . Find its position vector after 3 seconds.
1.
2.
3.
4.
If \(\overrightarrow{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. | \(x\overrightarrow{a}\) is a vector in the direction of \(\overrightarrow{a}\). |
2. | \(x\overrightarrow{a}\) is a vector collinear to \(\overrightarrow{a}\). |
3. | \(x\overrightarrow{a}\) and \(\overrightarrow{a}\) have independent directions. |
4. | \(x\overrightarrow{a}\) is a vector perpendicular to \(\overrightarrow{a}\). |
If \(\theta\) is the angle between two vectors and , and , then \(\theta\) is equal to:
1. \(0^\circ\)
2. \(180^\circ\)
3. \(135^\circ\)
4. \(45^\circ\)
The vector \(\overrightarrow b\) which is collinear with the vector \(\overrightarrow a = \left(2, 1, -1\right)\) and satisfies the condition \(\overrightarrow a. \overrightarrow b=3\) is:
1. \(\left(1, \frac{1}{2}, \frac{-1}{2}\right)\)
2. \(\left(\frac{2}{3}, \frac{1}{3}, \frac{-1}{3}\right)\)
3. \(\left(\frac{1}{2}, \frac{1}{4}, \frac{-1}{4}\right)\)
4. \(\left(1, 1, 0\right)\)
If a, b and c are three non-zero vectors such that , then the value of will be:
1. | Less than zero | 2. | equal to zero |
3. | greater than zero | 4. | 3 |
Two vectors and inclined at an angle with respect to each other have a resultant which makes an angle with . If the directions of and are interchanged, then the resultant will have the same
(A) magnitude
(B) direction
(C) magnitude as well as direction
(D) neither magnitude nor direction