Solve for the following vector problems:

a)

Using the scalar parameter :5, write a vector equation of the line passing through the points P (1, 4, 3) and Q (4, 3, 4). _) Find the parametric equations of the line that passes through the point P (0, 2) with direction vector d = (2, 3) Your answer should be of the form (m, y) = (a + bt, c + dt) . Solve the following system of linear equations, use r, s, or t to represent parameters, if necessary. If there is no solution to the system, enter "inconsistent": 12:c1 +30% 4355 20 14:E1 + 35 {132 Hi