Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations x – 2 = y +1= 3 - z 4 Write the vectors AB and AĆ in terms of its components. Determine ZBAC, i.e., the angle between AB and AĆ. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. Give an equation (in point-normal form) of the plane a containing the lines l and m.

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