If and , then the unit vector in the direction of is
1.
2.
3.
4.
The forces are acting perpendicular to each other at a point and have resultant R. If force is replaced by acting in the direction opposite to that of , the magnitude of resultant
(1) Becomes half
(2) Becomes double
(3) Becomes one third
(4) Remains the same
A force of \(20\) N acts on a particle along a direction, making an angle of \(60^\circ\) with the vertical. The component of the force along the vertical direction will be:
1. | \(2\) N | 2. | \(5\) N |
3. | \(10\) N | 4. | \(20\) N |
If are two vectors inclined to each other at an angle , then the component of perpendicular to and lying in the plane containing will be:
1.
2.
3.
4.
If and = , then
1.
2.
3. is antiparallel to
4. is inclined to at an angle of 45
If is the resultant of two vectors and ' is the difference in them, and , then:
(1)
(2)
(3) is antiparallel to
(4) makes an angle of 120° with
Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:
1. North-East
2. North-West
3. South-West
4. South-East
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
Given below are two statements:
Statement I: | Three vectors equal in magnitude cannot produce zero resultant. |
Statement II: | Minimum four vectors are required to produce zero resultant. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | A vector must have, magnitude and direction. |
Statement II: | A physical quantity cannot be called a vector if its magnitude is zero. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |