Question

HURYY!!!! BRAINLIEST! Given: u = <-3, -5>, v = <2, -4>, and w = <3, 5>. Match each vector subtraction with the graph of the resulting vector.

Answer 1

graphs 1, 3, 4 and 2

Subtract corresponding x and y components

u - v = <- 3, - 5 > - <2, - 4> = <- 3- 2, - 5 + 4> = <- 5, - 1> → graph 1

u - w = <- 3, - 5> - <3, 5> = <- 3- 3, -5, - 5> = <- 6, - 10> → graph 3

w - v = <3, 5> - <2, - 4> = <3 - 2, 5 + 4> = <1, 9> → graph 4

v - u = <2, - 4> - <- 3, - 5> = <2 + 3, - 4 + 5> = <5, 1> → graph 2

Answer 2

Answer:

Vector subtraction                         Graph

   u-v                                              Graph  1

   u-w                                              Graph 3

   w-v                                              Graph 4

   v-u                                               Graph 2    

Step-by-step explanation:

The vectors u , v and w are given by:

u=<-3,-5>

v=<2,-4>

and w=<3,5>

Now,

a)

u-v

u-v=<-3,-5>-<2,-4>

i.e.

u-v=<-3-2,-5-(-4)>

i.e.

u-v=<-5,-5+4>

i.e.

u-v=<-5,-1>

b)

u-w

u-w=<-3,-5>-<3,5>

i.e.

u-w=<-3-3,-5-5>

i.e.

u-w=<-6,-10>

c)

w-v

w-v=<3,5>-<2,-4>

i.e.

w-v=<3-2,5-(-4)>

i.e.

w-v=<1,9>

d)

v-u

v-u=<2,-4>-<-3,-5>

i.e.

v-u=<2-(-3),-4-(-5)>

i.e.

v-u=<5,1>