Help graphing Vectors in polar form

[physicsfridayrose]

Homework Statement

I'm doing a project looking at gravitational assists and the change in velocity
for part of it my teacher has told me to graph an equation I have but I'm unsure how to, as it is a vector equation in polar form, with constants I'm going to call them A and B. I am trying to use desmos, but am unsure how to

Relevant Equations

I can't seem to type in LaTeX on here so I put it in my solution

The equation I'm trying to graph on desmos is this with A & B as numbers, but I'm unsure how as it is a vector.

r = (A cosθ sinθ cscθ - B sinθ cscθ) i + (A cosθ sinθ cscθ + B sinθ cscθ) j

 

[Gaussian97]

Hello, maybe you could make a loot at the LaTeX Guide, it will help us to understand what are you asking.

 

[physicsfridayrose]

Hello, maybe you could make a loot at the LaTeX Guide, it will help us to understand what are you asking.

I've had a look and can't seem to work out where I'm supposed to type in LaTeX but have reorganised the question hope it works better now

 

[Dr Transport]

\vec{r} = (A\cos\theta \sin\theta \csc\theta - B sin\theta csc\theta) \hat{i} + (A cos\theta sin\theta\csc\theta+ B \sin\theta\csc\theta) \hat{j}

 

[Gaussian97]

Well, if you mean what Dr Transport wrote, you can look at some trigonometry identities to simplify a little your expression.
And what is exactly what you want to draw?

 

[vela]

Homework Statement:: I'm doing a project looking at gravitational assists and the change in velocity
for part of it my teacher has told me to graph an equation I have but I'm unsure how to, as it is a vector equation in polar form, with constants I'm going to call them A and B. I am trying to use desmos, but am unsure how to
Relevant Equations:: I can't seem to type in LaTeX on here so I put it in my solution

The equation I'm trying to graph on desmos is this with A & B as numbers, but I'm unsure how as it is a vector.

r = (A cosθ sinθ cscθ - B sinθ cscθ) i + (A cosθ sinθ cscθ + B sinθ cscθ) j

It's not really clear what you mean by "vector equation in polar form". Polar form is $r=f(\theta)$ where $r$, the distance from the origin, and $\theta$, the angle relative to the +$x$ axis, are both scalars. You don't have that here. On the righthand side, you have a vector with $x$ and $y$ components. You can tell this by the presence of the unit vectors $\hat i$ and $\hat j$. On the lefthand side, you should have $\vec r$ (not $r$) which is equal to $x\,\hat i + y\,\hat j$.

To make a graph in Desmos, check the help for how to plot parametric functions.