If the angle between vector a and b is an acute angle, then the difference ab is -
(1) the main diagonal of the parallelogram
(2) the minor diagonal of the parallelogram
(3) any of the above
(4) none of the above
What displacement must be added to the displacement to give a displacement of pointing in the x-direction?
(1)
(2)
(3)
(4)
A child pulls a box with a force of \(200~\text{N}\) at an angle of \(60^{\circ}\)
1. \(100~\text{N}, ~175~\text{N}\)
2. \(86.6~\text{N}, ~100~\text{N}\)
3. \(100~\text{N}, ~86.6~\text{N}\)
4. \(100~\text{N}, ~0~\text{N}\)
A man rows a boat at a speed of \(18~\text{km/hr}\)
1. \(9~\text{km/hr}\)
2. \(18\frac{\sqrt{3}}{2}~\text{km/hr}\)
3. \(18\cos 15^{\circ}~\text{km/hr}\)
4. \(18\cos 75^{\circ}~\text{km/hr}\)
A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:
1.
2.
3.
4.
If the angle between the unit vectors and is , then is :
(1) 0
(2) 1
(3) 2
(4) 4
Two constant forces and act on a body and displace it from the position to the position . What is the work done W?
(A) 9 Joule
(B) 41 Joule
(C) -3 Joule
(D) None of these
A vector A points, vertically upward and, B points towards north. The vector product is -
1. along west
2. along east
3. zero
4. vertically downward
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.