1. Find a unit vector orthogonal to the vector and . 2. Find the symmetric equation of the line through the point (, 7, 11) and perpendicular to the plane 2x + 3z = 0. 3. Sketch the domain of the function = 19 -y In(x2 - y) x 2 + 8 4. Prove the limit does not exist 5. Find the scalar projection of on . 6. Find the parametric equation of the line through the points (1, 4,2) and (2,5, 7). 7. Find the equation of the plane that is normal to the line in question 6 at the point (1,4,2). 8. Find the scalar equation of the plane through the points (0,4,1),(1,0,1) and (1,2,0) 9. Find the domain of the vector function ,(1) =. why is the 5 dimensional equation x' - y + sinz = 12 a surface but the 3-dimensional equation 7(1) = a curve