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Pick four different digits from i to 9, , 0, , , such as 2,7,1, 8. = ____$ = ____, = ____v = ____ line
Pick four different digits from i to 9, , 0, , , such as 2,7,1, 8. = ____$ = ____, = ____v = ____ line L:y = @x + 0,2 = 1 Point Pty = ( , 2, (DD) a) Produce an equation for line M in the format: \/ = (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 22 0 y yo 0 b) Produce an equation for line N in the format 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. cl) The directional vector of line M = 171) 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
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