Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are

The correct option is Impulse and area.

To determine which of the given quantities are vectors, we must distinguish between scalar and vector quantities:
- Scalar quantities have only magnitude and no specific direction.
- Vector quantities have both magnitude and a specific direction, and they obey the laws of vector addition.

Let's analyze each quantity in the list:
1. Pressure: Although pressure involves force (a vector) acting on an area, it is defined as the normal force per unit area. At any point in a fluid, pressure acts equally in all directions. Thus, it does not have a unique direction and is a scalar quantity.
2. Power: Power is the rate of doing work. Since work and time are both scalars, power is also a scalar quantity.
3. Energy: Energy represents the capacity to do work and is a scalar quantity.
4. Impulse: Impulse is defined as the change in momentum of an object when a force acts on it over a time interval. Since momentum is a vector quantity, impulse is also a vector quantity. It is mathematically expressed as:

$\overrightarrow{J}=\Delta \overrightarrow{p}$
5. Gravitational potential: Gravitational potential at a point is the work done per unit mass in bringing a mass from infinity to that point. Since work and mass are scalars, gravitational potential is a scalar quantity.
6. Electrical charge: Electrical charge is a fundamental physical property that can be positive or negative, but it has no direction associated with it, making it a scalar quantity.
7. Temperature: Temperature measures the average kinetic energy of the particles in a system and is a scalar quantity.
8. Area: In many areas of physics, particularly in calculating flux (such as electric flux or magnetic flux), area is treated as a vector quantity. The magnitude of the area vector is equal to the surface area, and its direction is perpendicular (normal) to the surface. It is represented as:

$\overrightarrow{A}=A\hat{n}$
where $\hat{n}$ is the unit normal vector to the surface.

Therefore, out of the given list, the only vector quantities are impulse and area.