Question

how do you convert a vector that has something like v=3x-1y into polar coordinates of v=a(r)+b(omega) ?

Answer 1

x=rcos(theta)
y=r sin(theta)

Answer 2

also, r = root(x^2 + y^2)

Answer 3

so, you equation would look something like
\[3 r \cos (\theta )-r \sin (\theta )\]

Answer 4

so when i do that equation, x=rcos(theta would i use 3 as my x?

Answer 5

When you see x, replace it with r cos (theta)
When you see y, replace it with r sin (theta)

Answer 6

oh okay

Answer 7

thank you very much

Answer 8

you are welcome

Answer 9

imran, one more question, you couldn't simplify v=2rcos(θ)-3rsin(θ) right? am i not thinking?

Answer 10

you can factor out a 'r' but that does not make much difference
r(2 Cos[x]-3 Sin[x])

Answer 11

alrighty cool. thank you!