Question

Describe the vector as an ordered pair. Round the coordinates to the nearest tenth.

Answer 1

Well, hint* we know vectors are represented in terms of r and theta

\[\large x = rcos(\theta)\]
\[\large y = rsin(\theta)\]

So if we wanted to turn this into an ordered pair \(\large (x,y)\) we would have

\[\large (rcos(\theta)), rsin(\theta))\]

Just plug in your 'r' and your angle and evaluate

Answer 2

Well, hint* we know vectors are represented in terms of r and theta

\[\large x = rcos(\theta)\]
\[\large y = rsin(\theta)\]

So if we wanted to turn this into an ordered pair \(\large (x,y)\) we would have

\[\large (rcos(\theta)), rsin(\theta))\]

Just plug in your 'r' and your angle and evaluate

Answer 3

Let me know if that makes sense or not :)

Answer 4

does not make sense

Answer 5

i plug in what in where??

Answer 6

Okay...so lets think about it another way!

Answer 7

lol ive never heard of it being called r and theta

Answer 8

@bibby

Answer 9

No problem! That's the thing is it's impossible to know how advanced of a description I can give :D

But, this will hopefully make it clear!

If I take your drawing...



And make it a right triangle...



We have a right triangle...with an angle known and the hypotenuse known right?

Answer 10

yes i understand so i use sin(69)=x/54 to find the x value and cos(69)=x/54 to find the y value

Answer 11

wow i feel dumb for that seeing this in the first place thanks!!!!!

Answer 12

Hmm...your labeling is a little off

Answer 13

well yeah thats what i meant lol

Answer 14

Lol okay good :P