Consider the following points and answer the questions below. 6-6-0-6-6-6-8-1- A (a) Find the area of...

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Consider the following points and answer the questions below. 6-6-0-6-6-6-8-1- A (a) Find the area of the triangle with vertices A, B, and C. Justify your answer. (b) Decide whether the points A, B, C, D lie on a plane of R; give an answer (Yes or No) and justify it. (c) Find a vector that is orthogonal to both PQ and PR, and find a vector that is parallel to PS. Justify your answer. 6+6+6-18 marks Consider the following points and answer the questions below. 6-6-0-6-6-6-8-1- A (a) Find the area of the triangle with vertices A, B, and C. Justify your answer. (b) Decide whether the points A, B, C, D lie on a plane of R; give an answer (Yes or No) and justify it. (c) Find a vector that is orthogonal to both PQ and PR, and find a vector that is parallel to PS. Justify your answer. 6+6+6-18 marks