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
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
If , then which of the following statement is correct?
1. must be perpendicular to
2. must be perpendicular to
3. Component of along = Component of along
4. Component of along = - (Component of along )
What is the maximum value of 5sinθ – 12cosθ?
1. 12
2. 17
3. 7
4. 13
A block of weight W is supported by two strings inclined at 60° and 30° to the vertical. The tensions in the strings are as shown. If these tensions are to be determined in terms of W using the triangle law of forces, which of these triangles should you draw? (block is in equilibrium) :-
1. 2.
3. 4.
The magnitude of the resultant of two vectors of magnitude 3 units and 4 units is 1 unit. What is the value of their dot product?
1. –12 units
2. –7 units
3. –1 unit
4. 0