Question

What is the magnitude and direction of line segment GE if G(3, -2) and H(6, 4)?

magnitude: 6.71 units; direction 63.43°

magnitude: 6.71 units: direction: 26.57°

magnitude: 3.61 units; direction: 26.57°


magnitude: 3.61 units: direction: 63.43°

Answer 1

that all depends on where E is i spose

Answer 2

oh i ment line GH sorry about that

Answer 3

thats better :)

since they ask for a direction from G and to H; the vector is simply defined to be last - first: or, H-G

Answer 4

oh ok i get it sort of i am not that good at vectors

Answer 5

at the moment, this is just arithmetic. work on the x parts by themselves and the y parts by themsleves

Answer 6

H(6, 4)
- G(3, -2)
----------
<3, 6 >

Answer 7

the rest is just the pythag thrm stuff; and an angle

Answer 8

oh ok so how do i figure out the answer to my question though?

Answer 9

magnitude is length; find the length of the hypotenuse of the picture i drew using the pythag thrm

the angle is the tangent that relates to the definition of a tangent

Answer 10

we could guess at it as well with some well placed reasoning :)

Answer 11

3,3 would be 45degrees, this is greater than 45

the length is greater than 6 by observation

Answer 12

so the magnitude would be 6.708

Answer 13

6.7 sounds good

Answer 14

let me try to figure out the angle measure