Question: please answer the question quickly l. (a) Show that the following system of equations has an innite number of solutions. 2x y + 22 =

please answer the question quickly

please answer the question quickly l. (a) Show that the following system

l. (a) Show that the following system of equations has an innite number of solutions. 2x y + 22 = l x + y 22 = 2 :r 2}: + 42 = l The system of equations represents three planes in space. [3 marks] (b) Find parametric equations for the line of intersection, L, of the three planes. [3 marks] 2 l 2. Consider the line L with vector equation F = 1 +41 2 . Find the coordinates of the 3 1 point on L that is nearest to the origin. [5 marks|

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