Find the vector equation of a plane a) passing through the point A(-1,2,-3) and parallel to the vectors ū = [-2,1,0] and i = [2,-3, -1] b) passing through the points A(2,3,2) and B(2,1,5) and C(3,-1,0) c) passing through the origin and containing the line f = (1,-3,2) + t(1,1,1)

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A: The detailed solution is as follows below:

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A: To find the equation of a plane that passes through the point with a normal vector , you can use…