just got into calc3, the professor taught us one class and gave us this homework which I don't feel he prepared us for.. I'm trying here, but I'm stuck on two problems
1) determine whether the points lie on a straight line
A (2,4,2); B (3,7,-2); C(1,3,3)
don't even know where to begin.
2) Find the equation of a sphere that passes through the point (4,3,-1) and has center (3,8,1)
now for this one, obviously the left side of the equation is going to look something like
(x-3)^2 + (y-8)^2 + (z-1)^2 = something
the back of the book says that it equals 30, and I don't know at all how to get this answer.
any helps or tips appreciated