Originally Posted by

**chris.j.stanford** Here's a question that has been troubling me for a while.

Suppose you have an equation of a line in three-dimensions. The parametric equation for this line is:

x = 2

y = 2 - t

z = t

Where t is the parameter.

What you need to do is determine the equation for a plane that passes through this line, but also tangets a sphere in exactly one place. The equation for this sphere is:

x^2 + y^2 + z^2 = 4

Thats the question, of which I think there are two answers.

The question was longer, but I managed to boil it down to that. If you would like the full question, just ask. If possible, try not to use derivatives to answer this. They confuse me. Thank you in advance for your help.