Line L passes through the point A(1,2) and makes an inclination of 60∘ with the positive x-axis. Another line M passes through the point B(3,−1) and is perpendicular to L.
a. (i) Find the equation of line L.
b. (ii) Obtain the equation of line M.
c. (iii) Locate the coordinates of their intersection point C.
d. (iv) Calculate the angle between lines L and M and comment on your result.