Hey, I have a few problems in my calc 3 night course that I'm having some trouble with, with this material in particular. These are from an older homework I need to work through again so an outline of the necessary procedure would really help. Any solutions or help guides would be greatly appreciated.
1. Find the point S such that the vertices P, Q, R and S form a parallelogram with Q and R adjecent to P if P=(3,-5,2), Q=(8,0,-2) and R=(-6,2,-1)
2.find the volume of a parallelepiped that has u, v and w as adjacent edges, if u=(2,-1,7), v=(0,3,35) and w= (0,-6,10)
3. Find the distance from point P(11,5,-3) to the line through A(3,-4,5) and B(10,-11,11)
4. find two unit vectors that are perpendicular to both u and v if u=(9,9,-6) and v=(-4,5,1)
Thanks again, I find this material much more difficult to grasp on a more complex level than the later stuff.