Question

find the vector with the given polar coordinates :

Answer 1

\[a) r= 4 , \theta=\frac{ \pi }{ 3 }\]

Answer 2

i cant approach the answer :'(

Answer 3

Polar to rectangular coordinate transform: \((x, y) = (r \cos \theta, r \sin \theta)\)

Answer 4

okay i can do this part , how do i get the vector

Answer 5

I'm assuming you need a vector in \(\mathbb{R}^2\). Vectors in \(\mathbb{R}^2\) are just ordered pairs of real numbers, in other words you can express the vector in terms of its real number components.

Answer 6

So the vector is simply \((r \cos \theta, r \sin \theta) = (4 \cos \frac{\pi}{3}, 4 \sin \frac{\pi}{3})\)

Answer 7

really? that is so simple , i have been absence alot from my calculus classes

Answer 8

that will be a relief

Answer 9

it cant be assumed in R^3 right?

Answer 10

@Alchemista