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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.

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 birds change in position Wri class=

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Answer:

c = -5

d = -10

Step-by-step 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 [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]

By substituting the coordinates of points A and B,

[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]

      = < -5, -10 >

[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]

By comparing it with the vector form of [cd]

c = -5

d = -10

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