If for two vectors \(\overrightarrow{A}\) and \(\overrightarrow {B}\), \(\overrightarrow {A}\times \overrightarrow {B}=0\), then the vectors:
1. | are perpendicular to each other. |
2. | are parallel to each other. |
3. | act at an angle of \(60^{\circ}\). |
4. | act at an angle of \(30^{\circ}\). |
and are two vectors and θ is the angle between them. If , then the value of θ will be:
1. | 60o | 2. | 45o |
3. | 30o | 4. | 90o |
The linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
If and = , then
1.
2.
3. is antiparallel to
4. is inclined to at an angle of 45
The scalar and vector product of two vectors, and is equal to:
1. -25 &
2. 25 &
3. 0 &
4. -25 &
Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)
Given are two vectors, and . What should be the value of c so that vector would become parallel to each other?
1. 1
2. 2
3. 3
4. 4