1. Vector help

So we learned vectors in class and i'm still so confused.

Can anyone explain how to do a few problems, and maybe what these are about. I will +rep for helpers!

New::
An airplane needs to head due north, but there is a wind blowing from the southwest at 40 km/hr. The plane flies at an airspeed of 800 km/hr,

To end up due north, the pilot will need to fly the plane ______ degrees west of north

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As part of video game, the point (2,1) is rotated counterclockwise about the origin through an angle of 35 degrees.

Find the new coordinates of this point

2. Rayray, I'd help, but I can't read the instructions xD

3. That's a very small image. Could you type out the instructions please? :3

4. Yes.

"Write the vector shown below as a combination of vectors u→ and v→ shown above"

5. okay so the key to vectors is the size and the direction that the line is going, if the vector you are asked to describe goes in the opposite direction of one of the given vectors than it is the negative vector. That's the basics of vectors i can find some online examples for you if you want?

6. The Following User Says Thank You to Aeires For This Useful Post:

Ray-Chill (06-07-2012)

7. Yes please. I'm just confused about how to add them up and junk.. I don't understand how two of them add up to the other one.

8. I am completely stumped, sorry I can't help

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Ray-Chill (06-07-2012)

10. Lol It's alright. Thank you for trying!

I'll be posting more soon, if I can't figure them out.

11. Break down v to x and y components. v = {-1, 2}
do same for u: {1, 1}
The resulting vector components are {2, -7}
Then you find scalars that make the components add up
m{-1,2}+n{1,1}={2,-7}
-m+n=2
-2m+2n=4
2m+n=-7
3n=-3
n=-1
m=-3
So the two numbers you would put in would be -3, and -1

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Ray-Chill (06-07-2012)

13. Originally Posted by bamag
Break down v to x and y components. v = {-1, 2}
do same for u: {1, 1}
The resulting vector components are {2, -7}
Then you find scalars that make the components add up
What do you mean by making them add up?