#1. Determine a direction vector for each of the following lines: (1 mark each) [4] (a) the line through (2, 1) and (7, 0) (b) a line with slope - 2 (e ) parallel to (x 1, y 3) = 1( 3, 4) (d) parallel to x-7 y - 2 5 3 Do Not Complete c) (e) x =3- 4t perpendicular to Ly = 2t#2. Find the vector, parametric, and symmetric equations for each of the following lines: (a) a line with slope 3 through the point (2, 5) [3] x _4 = 3 y = Z 1; 5 with zintercept 5. [3] (b) the line parallel to Date: Name: (c) the line perpendicular to (x, y) = (1, 3) + ((4, 3) with the same xintercept as (x, y) = (1, 1) + {(2, 3). [4] (d) a line perpendicular to the plane created by the lines P = (4,1,1) + :(1,3, l) x+3 2+4 =y1= [4] and . 2 3