Question

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>

Answer 1

`i = (4,0) , f= (-1,7)`

`v = <f_x -i_x , f_y -i_y>`

Where:

`i_x = 4, i_y = 0 , f_x = -1, f_y = 7`

And replacing we got:

`v =<-1-4, 7-0> =<-5, 7>`

And then the olution for this case would be:

e. <-5, 7>

Explanation:

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

`i = (4,0) , f= (-1,7)`

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

`v = <f_x -i_x , f_y -i_y>`

Where:

`i_x = 4, i_y = 0 , f_x = -1, f_y = 7`

And replacing we got:

`v =<-1-4, 7-0> =<-5, 7>`

And then the olution for this case would be:

e. <-5, 7>