Find the Component Form of the vector with

initial point (4,0) and terminal point (-1,7)


Select one:

a. <-5, -7>

b. <3, -7>

c. <5, -7>

d. none of these

e. <-5, 7>

Respuesta :

Answer:

[tex] i = (4,0) , f= (-1,7)[/tex]

[tex] v = <f_x -i_x , f_y -i_y>[/tex]

Where:

[tex] i_x = 4, i_y = 0 , f_x = -1, f_y = 7[/tex]

And replacing we got:

[tex] v =<-1-4, 7-0> =<-5, 7>[/tex]

And then the olution for this case would be:

e. <-5, 7>

Step-by-step explanation:

For this problem we know that we have a vector with the following initial and final points:

[tex] i = (4,0) , f= (-1,7)[/tex]

Let v the vector if interest. And we want to find the component form from this info, so we can use the following formula:

[tex] v = <f_x -i_x , f_y -i_y>[/tex]

Where:

[tex] i_x = 4, i_y = 0 , f_x = -1, f_y = 7[/tex]

And replacing we got:

[tex] v =<-1-4, 7-0> =<-5, 7>[/tex]

And then the olution for this case would be:

e. <-5, 7>