Classify the following measures as scalars and vector:
(i) 20 kg weight
(ii) `45^(@)`
(iii) 10 m south-east
(iv) 50m/`sec^(2)`

Answer

To classify the given measures as scalars or vectors, we will analyze each measure based on the definitions of scalar and vector quantities.

### Step-by-Step Solution:

1. **Measure: 20 kg weight**
- **Analysis**: Weight is a force that acts downwards due to gravity. It has both magnitude (20 kg) and direction (downwards).
- **Classification**: This is a **vector quantity** because it has both magnitude and direction.

2. **Measure: 45 degrees**
- **Analysis**: The measure of 45 degrees indicates an angle. It only provides a magnitude (the size of the angle) without any directional component.
- **Classification**: This is a **scalar quantity** because it has only magnitude and no direction.

3. **Measure: 10 m south-east**
- **Analysis**: This measure specifies a distance (10 m) and a direction (south-east). Both components are present.
- **Classification**: This is a **vector quantity** because it has both magnitude and direction.

4. **Measure: 50 m/s²**
- **Analysis**: This measure indicates acceleration. It has a magnitude (50 m/s²) but does not specify a direction.
- **Classification**: This is a **scalar quantity** because it has only magnitude and no direction.

### Final Classifications:
- (i) 20 kg weight: **Vector**
- (ii) 45 degrees: **Scalar**
- (iii) 10 m south-east: **Vector**
- (iv) 50 m/s²: **Scalar**