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
If \(\vec{A} = 2\hat{i} + \hat{j} - \hat{k}\) , \(\vec{B} = \hat{i} + 2\hat{j} + 3\hat{k}\) , and \(\vec{C} = 6 \hat{i} - 2\hat{j} - 6\hat{k}\) , then the angle between \((\vec{A} + \vec{B})\) and \(\vec{C}\) will be
1. 30°
2. 45°
3. 60°
4. 90°
The maximum or the minimum value of the function y = 25+ 5 – 10x is:
1. ymin = 4
2. ymax = 8
3. ymin = 8
4. ymax = 4
The unit vector perpendicular to vectors is
1.
2.
3.
4. None of these
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