Are the following quantities vectors or scalars? Explain.

1. (a) The cost of a theater ticket
2. (b) The current in a river
3. (c) The initial flight path from Houston to Dallas
4. (d) The population of the world

Neetesh Kumar | December 18, 2024

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This is the solution to Math 1C
Assignment: 12.2 Question Number 1
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Step-by-step solution:

(a) The cost of a theater ticket:

• The cost of a theater ticket is a scalar because it has magnitude only (the price) and no direction.

(b) The current in a river:

• The current in a river is a vector because it has both magnitude (speed of the current) and direction (the flow direction of the river).

(c) The initial flight path from Houston to Dallas:

• The initial flight path from Houston to Dallas is a vector because it has both magnitude (the distance traveled) and direction (the path taken).

(d) The population of the world:

• The population of the world is a scalar because it has magnitude only (the total number of people) and no direction.

Final Answer:

(a) $\boxed{\text{scalar}}$, $\boxed{\text{magnitude only}}$

(b) $\boxed{\text{vector}}$, $\boxed{\text{both magnitude and direction}}$

(c) $\boxed{\text{vector}}$, $\boxed{\text{both magnitude and direction}}$

(d) $\boxed{\text{scalar}}$, $\boxed{\text{magnitude only}}$

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