Question

A biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to express the bird's change in position? Write the vector in the form [cd] , where c and d are real numbers.

Answer 1

c = -5

d = -10

Explanation:

A biologist is tracking a bird when it was at A.

Coordinates of point A are (2, 4).

This bird moves from point A to point B.

Coordinates of the point B are (-3, -6).

Vector form of vector represented by
`\overrightarrow{AB}=<x_2-x_1, y_2-y_1>`

By substituting the coordinates of points A and B,

`\overrightarrow{AB}=<(-3-2),(-6-4)>`

= < -5, -10 >

`\overrightarrow{AB}=\binom{-5}{-10}`

By comparing it with the vector form of [cd]

c = -5

d = -10