I have a single of x-y coordinate system
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
This diagram should represent what you’ve told me.
The key point, is to express [x2],[y2] in CS1. (I can’t use latex here so let’s assume that [A] means the vector A, |A| is the length of the vector A)
[v2] = v2x * [x2] + v2y * [y2]
Since we have well defined [v1] and [d2], we can calculate [x’]
[x`] = [d2] – [v1]
From [x’] we can calculate x2
[x2] = (|x2|/|x’|)[x`] = (|x1|/|x’|)[x’] since |x1| = |x2|
From x2 we can calculate y2, although I don’t remember how. It’s a simple 90° rotation.
Should be this:
y2x = – x2y
y2y = x2x
Once we have expressed x2,y2 in CS1, we can compute v2
v2 = v2x * [x2] + v2y * [y2] = v2x * (x2x*[x1]+x2y*[y1]) + v2y * (y2x*[x1]+y2y*[y1])
= (v2xx2x + v2yy2x)[x1] + (v2xx2y + v2yy2y) [y1] // Hope I didn’t make any mistake here 🙂
And finally
[X] = [v1] + [v2]
I think the best option is to create a vector class and do all the math using vector algebra. You just need to define 3 operation: Addition, ScalarMultiplication, 90Rotation.