Which statement best describes the difference between a vector and a scalar?

• A. Some quantities one might measure in nature require a direction for a complete description. These are called scalars. Some quantities do not. These are called vectors.
• B. Some quantities one might measure in nature require a unit for a complete description. These are called scalars. Some quantities do not. These are called vectors.
• C. Some quantities one might measure in nature require a unit for a complete description. These are called vectors. Some quantities do not. These are called scalars.
• D. Some quantities one might measure in nature require a direction for a complete description. These are called vectors. Some quantities do not. These are called scalars.

Answer: (D)

Verified step by step guidance

1. Understand the definitions: Scalars are quantities that are described by a magnitude alone, such as temperature or mass. Vectors are quantities that require both a magnitude and a direction, such as velocity or force.
2. Identify the key difference: The main distinction between scalars and vectors is the requirement of direction. Scalars do not need a direction for their complete description, whereas vectors do.
3. Consider examples: Think of examples in physics where direction is crucial, such as displacement, which is a vector, versus distance, which is a scalar.
4. Analyze the statements: Evaluate each statement based on the definitions. The correct statement should reflect that vectors require direction and scalars do not.
5. Select the correct statement: Choose the statement that accurately describes vectors as requiring direction and scalars as not requiring direction.