=2,=4.=7,=1 line L:y = 2x + 4,2 = 1 Point P: ( 7, 2, 1) 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 L co-incident (the same line)? Explain. xx yyU zzO b) Produce an equation for line N in the format a 0 = b = C , so that line N is perpendicularto 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 = r; and the directional vector of line N = 1: 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