This unit is on vector equation of lines. Thank you in advance
1. Find equation of the line through the point (-2,1,-5) that meets the line (x+3/-3) = (y-5/4) = (2-z/1) Find the point of intersection.
2. Find the point(s) of intersection of the line (x,y,z)= (0,5,3) + t(1,-3,-2) with the sphere x^2+y^2+z^2 = 6. Is the segment of the line between the intersection points a diameter of the sphere? Please Explain.
3. Determine the distance between the lines x=t , y= 1+2t, z= 3-t and x= -3, y=-6+2s, z= 3-6s. (yes, you have to show how the lines interact)