Question

Which of the following can represent a vector?

• A. The length of the distance between the points $(0,0)$ and $(2,7)$
• B. A line segment beginning at $(2,7))$ and ending at $(0,0)$
  
• C. The length of the distance between the points $(2,7)$ and $(0,0)$
  
• D. A line segment beginning at $(0,0)$ and ending at $(2,7)$
  

Answer 1

Answer: (B), (D)

The correct options are
B A line segment beginning at $(2,7))$ and ending at $(0,0)$
D A line segment beginning at $(0,0)$ and ending at $(2,7)$

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 $(0,0)$ and ending at $(2,7)$.

A line segment beginning at $(2,7)$ and ending at $(0,0)$