Matrices and Line Intersection

Question

Ping 2012-10-18

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/51239-matrices-and-line-intersection

I am having difficulty rewriting my function. want to write a function that determines whether or not 2 lines intersect. I know I have to use the backslash to solve for the intersection of 2 equations, but I don't really know where to go from there so I tried my best.

The equations of the lines are :

ax + by = c

px + qy = r

The inputs, a, b, c, p, q, and r correspond to the coefficients of the equations above. The outputs, xc, yc, flag will be determined as follows:
If an intersection point exists, the value of flag is 1 and LineIntersect returns the intersection points: xc and yc.

*

If many intersection points exist, the value of flag is 2, and LineIntersect returns xc and yc as an empty vector.

*

If no intersection point exists, the value of flag is 3, and LineIntersect returns xc and yc as an empty vector.

This is the code I tried to write. Sorry for the many errors, I tried my best.

function [xc yc flag] = LineIntersect(a,b,c,p,q,r)
a.*x + b.*y = c 
p.*x + q.*y = r
if x*c/y*c
    flag=1
    disp ('xc' 'yc')
elseif x*c/y*c
    flag=2
    ('xc' 'yc')
elseif x*c/y*c
    flag=3
    disp('xc' 'yc')
flag= yc ./xc
end