# Recognizing vectors practice

Try two questions that make sure you understand that vectors have magnitude and direction.

## Problem 1

**Which of the following can represent a vector?**

A vector is a quantity that can be described as having both magnitude and direction.

The length of the distance between any two points is a magnitude with no direction, so it can't represent a vector.

A line segment beginning at a certain point and ending at another can represent a vector. The magnitude of the vector is the distance between the points, and its direction is the direction from the initial point to the terminal point.

**The following can represent a vector:**

- A line segment beginning at $(0,0)$left parenthesis, 0, comma, 0, right parenthesis and ending at $(2,7)$left parenthesis, 2, comma, 7, right parenthesis
- A line segment beginning at $(2,7)$left parenthesis, 2, comma, 7, right parenthesis and ending at $(0,0)$left parenthesis, 0, comma, 0, right parenthesis

## Problem 2

**Which of the following can be modeled by a vector?**

A quantity can be modeled by a vector if it can be described as having both magnitude and direction.

The movement of an airplane can be modeled as a vector. The magnitude of the vector is the velocity of the airplane, and its direction is the direction of the airplane.

The length of the distance between the white ball and the black ball on a pool table is a magnitude without any direction, so it can't be modeled by a vector.

For the same reason mentioned above, the length of the distance between a table at a restaurant and the kitchen is a magnitude without any direction, so it can't be modeled by a vector.

An order in a restaurant where four people ordered two items each doesn't have a clear magnitude, and it definitely doesn't have a direction. So, it can't be modeled by a vector.

*Only the movement of an airplane can be modeled by a vector.*