Question

Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).

a.
(-7.7,-3)

c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)


Please select the best answer from the choices provided

A
B
C
D

Answer 1

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If
`(x_1,y_1)` is the initial point and
`(x_2,y_2)` is the terminal point of a vector, then ordered pair that represents the vector is:

`(x_2-x_1,y_2-y_1)`

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

`(x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)`

`(x_2-x_1,y_2-y_1)=(-4+3.7,-7)`

`(x_2-x_1,y_2-y_1)=(-0.3,-7)`

Therefore, the correct option is b, i.e., (-0.3,-7).