Question: Question 2 (10 points) a) Explain why four points may or may not be coplanar [2 marks, Exp. C3] b) A plane in R3 has

Question 2 (10 points) a) Explain why four points may or may not be coplanar [2 marks, Exp. C3] b) A plane in R3 has scalar equation 3x + 2y - 12 = 0 i) What is the geometrical significance of the missing z term? ii) Describe how the plane compares with the line in R2 that has the same scalar equation .4 marks, Exp. C3] b) Using three distinct pieces of cardboard as planes (i.e. from a cereal box), show all possibilities of three planes in three-space that have NO solutions. Include photographs of your configurations with your assignment - the images may be uploaded to the dropbox as separate files to your assignment. (A homemade video is acceptable, but a handmade or computer-generated drawing is not acceptable). [4 marks, Exp C3]

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