The question given below consist of an assertion and the reason . Use the following key to choose appropriate answer:
Assertion : We cannot divided a vector quantity by another vector quantity.
Reason : we can divide a vector quantity by a scalar quantity .

Options

A. If both assertion and reason are correct and reason is a correct explanation of the assertion
B. If both assertion and reason are correct but reason is not the correct explanation of assertion .
C. If assertion is correct but reason is incorrect .
(d) If assertion is incorrect but reason is correct .
D. If assertion is incorrect but reason is correct

Answer

To solve the question regarding the assertion and reason, let's break it down step by step:

### Step 1: Understand the Assertion
The assertion states: "We cannot divide a vector quantity by another vector quantity."

- **Explanation**: Vector quantities have both magnitude and direction. When we attempt to divide one vector by another, we face the problem of how to handle their directions. While we can mathematically manipulate magnitudes, the directional aspect complicates the division.

### Step 2: Understand the Reason
The reason states: "We can divide a vector quantity by a scalar quantity."

- **Explanation**: Scalar quantities have only magnitude and no direction. When dividing a vector by a scalar, we can divide the magnitude of the vector by the scalar while keeping the direction of the vector unchanged. This is a valid operation in vector mathematics.

### Step 3: Assess the Relationship Between Assertion and Reason
Now, we need to evaluate if the assertion is a correct explanation of the reason.

- The assertion is correct: we cannot divide one vector by another vector due to the directional component.
- The reason is also correct: we can divide a vector by a scalar quantity.

However, the assertion does not provide a correct explanation for the reason. The reason explains a different operation (dividing by a scalar), which does not justify the assertion about dividing vectors.

### Conclusion
Both the assertion and the reason are correct statements, but the assertion does not correctly explain the reason. Therefore, the answer to the question is that both statements are true, but the assertion is not a correct explanation of the reason.

### Final Answer
- Assertion: True
- Reason: True
- Explanation: The assertion is not a correct explanation of the reason.