Assertion : Hydrostatic pressure is a vector quantity.
Reason : Pressure is force divided by area, and force is a vector quantity.

Explanation

To solve the assertion-reason question, we will analyze both the assertion and the reason step by step.

### Step 1: Understand the Assertion
The assertion states that "Hydrostatic pressure is a vector quantity." To evaluate this, we need to understand what hydrostatic pressure is.

**Hydrostatic Pressure**: It is the pressure exerted by a fluid at equilibrium due to the force of gravity. This pressure acts in all directions at a given point within the fluid.

### Step 2: Analyze the Nature of Hydrostatic Pressure
Pressure is defined as the force exerted per unit area. Mathematically, it is expressed as:
\[ P = \frac{F}{A} \]
where \( P \) is pressure, \( F \) is the force, and \( A \) is the area.

### Step 3: Determine if Pressure is a Vector or Scalar Quantity
Pressure, despite being derived from force (which is a vector), does not have a specific direction in which it acts. Instead, it acts uniformly in all directions at a point within the fluid. Therefore, hydrostatic pressure is classified as a **scalar quantity**.

### Step 4: Evaluate the Reason
The reason states that "Pressure is force divided by area, and force is a vector quantity." This statement is correct. However, it does not justify the assertion that hydrostatic pressure is a vector quantity.

### Conclusion
- The assertion that "Hydrostatic pressure is a vector quantity" is **false**.
- The reason that "Pressure is force divided by area, and force is a vector quantity" is **true**, but it does not provide a valid justification for the assertion.

### Final Answer
- Assertion: False
- Reason: True