Let \(\theta\) be the angle between vectors \(\overrightarrow A\) and \(\overrightarrow {B}\). Which of the following figures correctly represents the angle \(\theta\)?

1.		2.
3.		4.

If the angle between the two forces increases, the magnitude of their resultant:

1. Decreases

2. Increases

3. Remains unchanged

4. First decreases, then increases

The vector sum of two forces is perpendicular to their vector difference. Which of the following statements is correct?

Current in a circuit is given by $i<mspace\; width="1em"></mspace>=3t^2+2t$. Find charge that crosses a cross-section from time t=0 to t=2 sec.

1. 12 C

2. 10 C

3. 8 C

4. 2 C

The dot product of two mutual perpendicular vector is:

1. \(0\)

2. \(1\)

3. \(\infty\)

4. None of the above

When $\overrightarrow{\mathrm{A}}.\overrightarrow{\mathrm{B}}=-\left|\mathrm{A}\right|\left|\mathrm{B}\right|$, then

1. $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ are perpendicular to each other

2. $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ act in the same direction

3. $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ act in the opposite direction

4. $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ can act in any direction

If for two vectors \(\overrightarrow{A}\) and \(\overrightarrow {B}\), \(\overrightarrow {A}\times \overrightarrow {B}=0\), then the vectors:

A particle moves from position null to \(\left(11\hat i + 11\hat j + 15\hat k \right)\) due to a uniform force of \(\left(4\hat i + \hat j + 3\hat k\right)\)N. If the displacement is in m, then the work done will be: (Given: \(W=\overrightarrow {F}.\overrightarrow {S}\))
1. \(100~\text{J}\)
2. \(200~\text{J}\)
3. \(300~\text{J}\)
4. \(250~\text{J}\)

A plane is revolving around the earth with a speed of 100 km/hr at a constant height from the surface of the earth. The change in the velocity as it travels half-circle is:

1. 200 km/hr

2. 150 km/hr

3. $100\sqrt{2}$ km/hr

4. 0