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Part 1, 2, 3, and 4 for a like
Part1: Determine the scalar, vector and parametric equations of the plane that passes through the points (3,2,5), (0,-2,2) and (1,3,1). Part 2: Determine the intersection of the perpendicular line drawn from the point A (-5, 3, 7) to the plane v (0, 0, 2) + t (-1, 1, 3) + s (2, 0,-3) and determine the distance from point A to the plane. = Part 3: Investigate the dot products a. (ax 5) and B. (ax 5) for any two vectors a and b in three- space. What property of the cross product ax does this verify? Part 4: Give an example how the dot product can be used to compare work done in pulling a wagon over a given distance in a specific direction using a given force for different positions of the handle.