1. The problem statement, all variables and given/known data I am given the following vectors : Code (Text): p = 3 q = 2 r = 5 2 4 3 -4 -3 -1 They ask to find these: 1. a normal to the plane containing p, q and r. 2. the distance from the origin to the plane containing p, q and r 3. The distance from r to the line containing p and q 4. The matrix and translation of the affine transformation T:ℝ3 → ℝ3 which projects points orthogonally onto the plane containing p, q and r. 2. Relevant equations equation for a normal to a plane: f(x,y,z) = ax + by + cz + d = 0 projection equation: projvn = (|v . n|/|v|2) . v 3. The attempt at a solution I will have to edit this in since i need to leave quickly but I would still like to throw this out there, I know the equations, I know the normal is a vector which is orthogonal to the plane and thus who's dot product is equal to zero, but I do not know how to go about it. As for #2 I do not know how to solve for an equation in which all vectors equal zero. #3 I think the line containing p and q will be p - q = s, and i must project r onto s to find the distance for #4 I do not understand what they are asking.