- Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation
*(x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4)*. Show your work.
- Determine vector and parametric equations for the plane through the point (1, -2, 3) and parallel to the
*xy*-plane. Show your work.
- Does the line with equation
*(x, y, z) = (5, -4, 6) + u(1,4,-1)* lie in the plane with equation *(x, y, z) = (3, 0, 2) + s(1,1,-1) + t(2, -1, 1)*? Justify your answer algebraically.