Question

Multiple choice please help :)
What is the magnitude and direction of Vector GH 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°

I know that its not the third one!

Answer 1

\[g = 3i - 2j\]
\[h = 6i + 4j\]
\[h-g = 3i + 6j\] (vector from g to h)
\[\sqrt{3^{2}+9^{2}}\] (it's magnitude)
\[\theta = \tan^{-1} 6/3\] (it's angle)

Answer 2

hmmm im not sure which part i need to solve?

Answer 3

you'll just need to compute the square root of 3^2 + 9^2 and the arc tangent of 6/3

Answer 4

The first will be magnitude, the second will be the angle.
Need a picture?

Answer 5

the square root of 90 is 9.48 no what?

Answer 6

now

Answer 7

sorry, I meant you'll just need to compute the square root of 3^2 + 6^2 and the arc tangent of 6/3. (I changed 9 to 6 here)

Answer 8

everything else looks good

Answer 9

so 6.7 but i dont know how to calculate the tangent could you helo?

Answer 10

you should get \[\sqrt{3^{3}+6^{2}}=6.71\]

Answer 11

im just confused on what to do next :/

Answer 12

For the magnitude

Answer 13

Do you have a picture in your head about what is required? It helps alot

Answer 14

im lost lol

Answer 15

just a sec, I'll try to draw this

Answer 16

may I interject, LaurenAshley, if you graph the vectors it usually helps you to understand. =)