Question

What is the magnitude and direction of Vector GH if G(2, -2) and H(7, 6)?

Choices:
magnitude: 9.43 units; direction 32.01°

magnitude: 6.4 units; direction: 57.99°

magnitude: 9.43 units: direction: 57.99°

magnitude: 6.4 units: direction: 32.01°

Answer 1

G to H is defined as H-G, pointywise

Answer 2

okay...

Answer 3

can you give me the value of H minus G?

Answer 4

how?

Answer 5

by subtracing the x and y part of G from the x and y part of H

Answer 6

(5,8)?

Answer 7

H(7, 6)
-G(2, -2)
---------
5,8 yes

Answer 8

ok, now what?

Answer 9

so, lets use this to deduce an answer

the magnitude is greater than any single part; so the magnitude has to be bigger than 8

Answer 10

so it's A or C based on elimination. Right?

Answer 11

yes, we have narrowed it down to A or C

Answer 12

okay

Answer 13

now, 5,5 gives us a 45 degree angle

is 5,8 bigger or smaller then the 5,5?

Answer 14

where did 5,5 come from?

Answer 15

from knowing that 1,1 makes a 45 degree angle, and that any multile of it is a 45 degree angle so we can compare this with it

Answer 16

since our options state degrees bigger and smaller than 45; its an easy thing to check without getting a specific value

Answer 17

okay

Answer 18

a rule of thumb might be:

(x,y) if x < y bigger than 45
if x > y smaller than 45
if x = y than equal to 45

Answer 19

okay

Answer 20

so, are we bigger or smaller than a 45 degree angle in this case?

Answer 21

Bigger?

Answer 22

yes

Answer 23

So its C?

Answer 24

unless we are trying to determine the quantum state of the options .... id say yes :)

Answer 25

an we dedcued it without having to find specific values for mag and direction

Answer 26

okay thanks!

Answer 27

Do you think you can help me with another?

Answer 28

maybe

Answer 29

Im going to post it in a second

Answer 30

ima going to go get a cupocoffee ... im a bad mormon :)

Answer 31

haha ok have fun!

Answer 32

eww!! ...they is out of french vanilla creamer .... so ill pass