Angular momentum is

Options

A. vector (axial)
B. vector (polar)
C. scalar
D. None of these

Answer

To determine the nature of angular momentum, we can follow these steps:

### Step 1: Understand the Definition of Angular Momentum
Angular momentum (L) is defined as the product of an object's moment of inertia (I) and its angular velocity (ω). The formula can be expressed as:
\[ L = I \cdot \omega \]

### Step 2: Analyze the Components
- **Moment of Inertia (I)**: This is a scalar quantity that measures how difficult it is to change the rotational motion of an object.
- **Angular Velocity (ω)**: This is a vector quantity that describes the rate of rotation and the axis about which the object rotates.

### Step 3: Determine the Nature of Angular Momentum
Since angular momentum is derived from a scalar (moment of inertia) and a vector (angular velocity), the resulting quantity is a vector. Specifically, angular momentum is an axial vector, which means it has both magnitude and direction.

### Step 4: Conclusion
Based on the analysis, we conclude that angular momentum is a vector quantity.

### Final Answer
Angular momentum is a vector quantity.

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