6. a) Write a vector equation for the line that passes through the point (1, 4) and is perpendicular to the line: = 2 3, = 5 + , where .

b) Does the point (2, 3) lie on the line in your answer to part a)? Show your work.

7. Determine the Cartesian equation for the line passing through the points (6, 2) and (3, 5).

8. Determine parametric equations of the line that passes through the point (6, 3, 2) and is parallel to the z-axis.