Question: Please answer question Question 3 (10 marks) Show that the line L represented by the vector equation = = + 1 and the plane P

Please answer question

Question 3 (10 marks) Show that the line L represented by the vector equation = = + 1 and the plane P represented by the scalar equation r + y - z = -2 do not intersect. (You may exit row reduction as soon as the result becomes clear.) Question 4 (8 marks) Given the system of linear equations Gri + a'12 = 4 2r2 + 3:1 = b where a, b E R, determine all values of a and b such that the system a) is inconsistent. b) has a unique solution. c) has infinitely many solutions

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