Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the vectors u = <-1, -3>, V = <5,-8>, W = <5, -2>, and z = <3, 1>.
Based on the components of vectors U, V, W, and Z match each vector subtraction with the magnitude of the resulting vector.

Answer 1

Answer:

1. ║u-z║= 5.66

2.║v-w║=6.0

3. ║w-u║=6.08

4.║v-u║=7.81

Step-by-step explanation:

The vectors are given as;

u = <-1, -3>, v = <5,-8>, w = <5, -2>, and z = <3, 1>.

To find the magnitude of the vectors;

1. ║u-z║

<-1 - 3> = <-4  and < -3 - 1> = <-4

║<-4,-4> ║= √{ -4²+-4²} = √32 = 5.66

2.║v-w║

   <5,-8> - <5,-2>

   <5-5> , <-8--2>

   <0,-6>

    ║<0,-6>║= √{0²+ -6²} = √36 = 6

3. ║w-u║

    <5,-2> - <-1,-3>

    <5--1> , <-2--3>

    <6,1>

    ║6,1║= √{6²+1²} = √36+1 = √37 = 6.08

4.║v-u║

   <5,-8> - <-1,-3>

    <5--1> , <-8--3>

    < 6 , -5 >

    ║6,-5║= √{6²+-5²} = √36+25 =√61 = 7.81