Assertion: Pressure is a vector quantity.
Reason: Pressure `P=(F)/(A)`. Here `F`, the force is a vector quantity.

Options

A. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that "Pressure is a vector quantity." We need to determine if this statement is true or false.

### Step 2: Understand the Reason
The reason states that "Pressure \( P = \frac{F}{A} \)", where \( F \) is the force and \( A \) is the area. We need to analyze this equation to understand the nature of pressure.

### Step 3: Analyze the Equation
In the equation \( P = \frac{F}{A} \):
- \( F \) (force) is indeed a vector quantity, as it has both magnitude and direction.
- \( A \) (area) is typically treated as a scalar in this context, but it can also be represented as a vector in certain applications (like flux). However, in the context of pressure, area is considered a scalar.

### Step 4: Determine the Nature of Pressure
When we divide a vector quantity (force) by a scalar quantity (area), the result is a scalar quantity. Therefore, pressure is a scalar quantity.

### Step 5: Conclusion
- The assertion that "Pressure is a vector quantity" is **false**.
- The reason that "Pressure \( P = \frac{F}{A} \)" is **true**.

### Final Answer
Since the assertion is false and the reason is true, the correct option is that the assertion is false but the reason is true.

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