Question

find the points at which line (x-6)/3 =( y+2)/ -6 = (z-2)/4 intersects the ellipsoid (x^2)/81 + (y^2)/36 + (z^2)/9 = 1

Answer 1

oh fun fun set... them equal to eachother and solve :(

Answer 2

or sub. or the like. you should have an equation,

Answer 3

restructure the first part into parametric x(t), y(t) and z(t)

sub in those xyz parts into the second equation to solve for t; then you can define the specific points for x y and z