Question

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

Answer 1

A. magnitude: 6.71 units; direction 63.43°

B. magnitude: 6.71 units: direction: 26.57°

C. magnitude: 3.61 units; direction: 26.57°

D. magnitude: 3.61 units: direction: 63.43°

Answer 2

please help D: I dont understand how to do this at all

Answer 3

@ganeshie8

Answer 4

For magnitude, use the distance formula

Answer 5

that's it?

Answer 6

that's it for magnitude :)

Answer 7

cuz magnitude is just the distance between two points

Answer 8

well I did the distance formula and I got 6.7082

Answer 9

good job !

Answer 10

what about the direction?

Answer 11

for direction, u need to find the \(\text{slope}\) first

Answer 12

do I use the slope formula?

Answer 13

Yes !

Answer 14

when I used the slope formula I got 2? is that right or did I make a mistake?

Answer 15

thats the correct slope

Answer 16

direction = \(\tan^{-1}(2)\)

Answer 17

I got 63.43! omg thank you so much you are life saver!!! so the answer is A, right?

Answer 18

thats correct ! np :)

Answer 19

thanks for the medal too c:

Answer 20

:)

Answer 21

try these formulas..... its will be useful
Say from A(x1, y1) to B(x2, y2)....
dx = x2 - x1
dy = y2 - y1

Distance = sqrt( dx^2 + dy^2 )
Direction or angle = tan inverse (dy/dx)

Answer 22

thank you! but I already got my answer. I'll use your method for future references though c:

Answer 23

ok.... grt...and no probs