Pick four different digits from 1 to 9, , ., , , such as 2,7,1, 8. : ____$ : ____, 2 ____' 2 ____ lineL:y = @x + .,z= 1 PointP1y= ( , 2, ) a) Produce an equation for line M in the format: y = (a point) + t(a vector), t E R, so that M is parallel to L, and point P is on line M. Are M and Lco-incident (the same line)? Explain. xx ZZ 0 y ya 0 b = C ,so that lineNis perpendicularto b) Produce an equation for line N in the format line L and passes through point P. c) Find the acute angle between line N and the z-axis to two decimal places. d) The directional vector of line M = and, and the directional vector of line N = r: n: and gmake up a triangle, where P is one of the vertices. What is the area of this triangle? Provide the exact answer (not decimals) if possible