Hello,
maybe this comes a little bit late ...
If then the equations of the lines can be written like this:
and
If and are the position vectors to the fixed points of the lines, and the direction vectors of the lines and is the normal vector to and then the distance d is calculated by:
(see attachment)
1. thus
2. Now plug in all the values you know into the equation to calculate the distance:
Hello,
to a): I assume that you have written your problem correctly.
If so you can simplify the given equations:
If
Then these equations with the given restriction describe a straight line connecting the points A(8, -12, 2) [for k = 0] and B(-6, 0, 4) [for k = 2]:
The equation of the line where the points A and B are placed on is:
to b) I have no idea what to do - sorry!