Question

Find |u + v|, |u − v|,and |u| − |v|.
u = −2i + 4j, v = i − 5j

Answer 1

can you first figure out what u+v is ?

Answer 2

<-1,-1>

Answer 3

now use pythagoras to find the lenghth

Answer 4

I get |u+v| = sqrt(2)

Answer 5

that what i got but i dont know what to do next

Answer 6

you do |u-v|

Answer 7

what is u-v?

Answer 8

\[\sqrt{10}\]

Answer 9

u = −2i + 4j, v = i − 5j
-2i -i + 4j - -5j
-3i +9j

Answer 10

now find | -3i + 9j| = sqrt(9+81)= sqrt(90)

Answer 11

or 3 sqrt(10)

Answer 12

how did you get sqrt(10) ?

Answer 13

i did 4+-5 and and got -1 for b

Answer 14

but i see what i did wrong

Answer 15

now the last problem
first find | u |
then |v|

Answer 16

u =sqrt 20,v=sqrt26

Answer 17

2sqrt5-sqrt26

Answer 18

that's what I got. an ugly answer, but it is what it is...

Answer 19

thank you for the help it help alot