A is the point (-6, 5) and B is the point (-2,-3). 3 2 4- 3- 1 2- B 3- 4- (b) Find the equation of the line that is perpendicular to / and passes through the origin. Y=mx+c = Y = mx +c Y = x +0 W12 = + C=0(0,0) origin Y-Єx 1-3 [2] 2 of 41 Page

If l1is a horizontal line passing through (1, 8) and l2 is a vertical line passing through (- 3, 4) , then at what point do l1and l2intersect?

A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287, 106) and is constructed in a straight line in the direction 2î - 8j+ 3 k whilst the other end of tunnel starts at the point B (-395,263, -89) and is constructed in a straight line in the direction 9i - 6j +2k. The starting points and the direction vectors of both ends of the tunnel are measured in metres. Verify that the tunnels being constructed from both ends meets by first finding the equations of both tunnels and then finding their intersection point P.

Write an equation of the line parallel to AB that contains point C. AB: y = *+ 1: c0. 1) C(7, 1)