How can I use a cube as the boundaries for a line ?

I have x,y and z extremes which i need to use to create a box (xlo,xhi,ylo,yhi,zlo,zhi). I need to then draw a random line inside the box and figure out the length of this line. I was thinking about manually creating the equations for the planes describing the box and finding out when they intersect with the line but I am not entirely sure how to accomplish this on matlab. Thank you!

Answer 1

[KSSV]

To get (xlo,xhi,ylo,yhi,zlo,zhi):

[min(x) max(x) min(y) max(y) min(z) max(z)] ;

As you have (x,y,z) data, select any two points in random and plot line. You may select random point using randsample or randperm. Once you get two points, you can get length using norm. Or by calculating the distance between them.