Question

Drag the tiles to the correct boxes to complete the pairs. Glven: U = (-2, -7>, V = (3, -4) , and W = (5, 1) . Based on the components of the given vectors, match each vector subtraction with the graph of the resulting vector.​

Answer 1

Graph 1: u-v

Graph 2: u-w

Graph 3: w-v

Graph 4: v-u

Explanation:

First, let us find u-v, u-w, w-v, v-u.

u-v:

<-2,-7> - <3,-4> = <-2-3,-7-(-4)>= <-5,-3>

u-w:

<-2,-7> - <5,1> = <-2-5,-7-1> = <-7,-8>

w-v:

<5,1> - <3,-4> = <5-3,1-(-4)> = <2,5>

v-u:

<3,-4> - <-2,-7> = <3-(-2),-4-(-7)> = <5,3>

Then we can match the results with the graphs.

Graph 1: u-v

Graph 2: u-w

Graph 3: w-v

Graph 4: v-u