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The magnitude of a vector cannot be...

The magnitude of a vector cannot be

A

positive

B

zero

C

negative

D

unity

Text Solution

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The correct Answer is:
To solve the question "The magnitude of a vector cannot be," we will analyze the options provided and determine which one is correct. ### Step-by-Step Solution: 1. **Understand the Concept of Magnitude:** - The magnitude of a vector is a measure of its length or size. It is always a non-negative quantity. 2. **Analyze the Options:** - We have four options to consider: 1. Magnitude 2. Positive 3. Zero 4. Negative 5. Unity 3. **Evaluate Each Option:** - **Magnitude:** This term itself refers to the size of the vector, which is always a non-negative value. - **Positive:** The magnitude of a vector can be positive, as it represents a length. - **Zero:** The magnitude can indeed be zero, which occurs when the vector itself is a zero vector (having no length). - **Negative:** The magnitude of a vector cannot be negative. Magnitude is defined as a non-negative quantity, and any negative sign in vector notation refers to direction, not magnitude. - **Unity:** The magnitude can be unity (1), which is a specific positive value. 4. **Conclusion:** - The only option that is not possible for the magnitude of a vector is "Negative." Therefore, the answer is that the magnitude of a vector cannot be negative. ### Final Answer: The magnitude of a vector cannot be **negative**. ---

To solve the question "The magnitude of a vector cannot be," we will analyze the options provided and determine which one is correct. ### Step-by-Step Solution: 1. **Understand the Concept of Magnitude:** - The magnitude of a vector is a measure of its length or size. It is always a non-negative quantity. 2. **Analyze the Options:** ...
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