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ng (6 marks) (a) Find an equation of the plane P that passes through the point P(0, 1, 2) and is perpendicular to the

 

ng (6 marks) (a) Find an equation of the plane P that passes through the point P(0, 1, 2) and is perpendicular to the vector n = [1, 2, 11. (b) Let be the line in R given by x = [1,2, 1] + [1,-1,1], te R. Explain why does not intersect P and find the distance from L to P. Hint: To find the distance from C to P. choose a point A on the line and a point B on the plane and project AB to the normal vector .

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