Given a tetrahedron ABCD with A = (1,1,1), B = (3,2,1), C = (0,1,2) , D = (3,2,2)
a) Find volume of ABCD:
I have
Is that correct?
b) Find distance between A and face BCD:
Face BCD is
But I can't remember the distance formula, any help?
I think is this one:
dist(A,BCD) =
Sorry, we don't have a textbook for this course, and the professor didn't have the formula clearly, I tried my best to take the notes but I just can't follow him.
c) Find the distance between the lines AC and BD:
AC = (1,1,1)+t(-1,0,1) , BD = (3,2,1)+s(0,0,1)
dist(AC,BD) =
Is that right?