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Which of the following is a vector?...

Which of the following is a vector?

A

Pressure

B

Displacement

C

Moment of inertia

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following is a vector, we need to understand the definitions of vectors, scalars, and tensors. ### Step-by-step Solution: 1. **Understand the Definitions**: - **Vector**: A quantity that has both magnitude and direction. Examples include displacement, velocity, and force. - **Scalar**: A quantity that has only magnitude and no direction. Examples include mass, temperature, and pressure. - **Tensor**: A more complex quantity that has magnitude, direction, and a plane. An example is moment of inertia. 2. **Identify the Options**: - Without specific options given in the question, we can assume common examples. Let's consider: - A) Pressure - B) Displacement - C) Moment of Inertia - D) Temperature 3. **Classify Each Option**: - **Pressure**: This is a scalar quantity as it only has magnitude (e.g., 101.3 kPa) and no direction. - **Displacement**: This is a vector quantity as it has both magnitude (e.g., 5 meters) and direction (e.g., north). - **Moment of Inertia**: This is a tensor quantity as it has magnitude, direction, and a plane. - **Temperature**: This is also a scalar quantity as it only has magnitude (e.g., 25 degrees Celsius) and no direction. 4. **Conclusion**: - Among the options, **Displacement** is the only vector quantity. ### Final Answer: The vector quantity among the options is **Displacement**. ---

To determine which of the following is a vector, we need to understand the definitions of vectors, scalars, and tensors. ### Step-by-step Solution: 1. **Understand the Definitions**: - **Vector**: A quantity that has both magnitude and direction. Examples include displacement, velocity, and force. - **Scalar**: A quantity that has only magnitude and no direction. Examples include mass, temperature, and pressure. - **Tensor**: A more complex quantity that has magnitude, direction, and a plane. An example is moment of inertia. ...
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