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Which of the following represents a vect...

Which of the following represents a vector ?

A

`leftrightarrow`

B

`rarr`

C

`underset(A)larr`

D

`underset(A)rarr`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options represents a vector, we first need to understand what a vector is. A vector is a physical quantity that has both magnitude and direction. ### Step-by-Step Solution: 1. **Understanding Vectors**: - A vector is defined by two key components: magnitude (how much) and direction (which way). Examples of vectors include displacement, velocity, acceleration, and force. 2. **Identifying Notation**: - Vectors are typically represented in physics using a bold letter or with an arrow above the letter. For instance, velocity can be represented as **v** or \( \vec{v} \). 3. **Evaluating Options**: - We need to look at the provided options and analyze each one to see if it meets the criteria of having both magnitude and direction. 4. **Analyzing Each Option**: - **Option 1**: If it is just a single letter without any indication of direction or magnitude, it cannot represent a vector. - **Option 2**: If it is just a number or magnitude without a direction, it cannot represent a vector. - **Option 3**: If it is a directional term without a magnitude, it cannot represent a vector. - **Option 4**: If it is a symbol that includes both magnitude and direction (like \( \vec{v} \)), this option represents a vector. 5. **Conclusion**: - After analyzing all options, we conclude that only the option that includes both magnitude and direction (option 4) correctly represents a vector. ### Final Answer: - The correct option that represents a vector is **Option 4**.

To determine which of the given options represents a vector, we first need to understand what a vector is. A vector is a physical quantity that has both magnitude and direction. ### Step-by-Step Solution: 1. **Understanding Vectors**: - A vector is defined by two key components: magnitude (how much) and direction (which way). Examples of vectors include displacement, velocity, acceleration, and force. 2. **Identifying Notation**: ...
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