Please shows work

(1 point) Vectors: Find the vector from the point A = (0, 9, 9) to the point B = (6, -2, 6). AB = Equations of lines: Consider the vector equation of the line through the two points listed above. For each equation listed below, answer T if the equation represents the line, and F if it does not. Here is the list of questions: 1. (x, y, z) = (0,9,9) + t (6, -11, -3) 2. (x, y, z) = (6, -2, 6) + 1 (6, -11, -3) 3. (x, y, z) = (6, -2, 6) + t (0, 9,9) 4. (x, y, z) = (0, 9,9) + t(6, -2, 6) 5. (x, y, z) = (0,9,9) + t (-6, +11, +3)(1 point) Find the vector and parametric equations for the line through the point P = (-5,3, -2) and parallel to the vector (3, -1, -3). Vector Form: r(() = Parametric form (parameter , and passing through P when t = 0): x = x(1) = -15 y = y(1) = -3 z = z(1) 6(1 point) Find the vector and parametric equations for the line through the point P(-1, -3, 1) and orthogonal to the plane 5y - 3x +z = -1. Vector Form: r = , 1) + 1( . [. 1) Parametric form (parameter , and passing through P when ( = 0): x = x(t) y = y(t) = Z = z(1)(1 point) Find the vector and parametric equations for the line through the point P(0, 5, -2) and the point Q(-4, 4, -6). Vector Form: r = . -2) + 1( - 4 ) Parametric form (parameter , and passing through P when ( = 0): x = x(t) y = y(t) = z = z(1)