5. Determine the vector equation of the line
a) Passing through the points P(2, -3) and Q(5,9). b) with direction vector (1, 2, 3) and same z-intercept as the line 2x-3y+z-9=0. 6. Determine the parametric equations of the line through A(-2, 5, 3) and B(1, -2, 6).
7. For the following pair of equations, determine whether they represent the same line, parallel lines, or neither. r= (-7,11,5)+1(-12,15,9) and r = (1,1,-1)+1(16,-20,-12)