Question: Find the minimum distance between the point (1, 0, 0) T and the plane x + y z = 0 when distance is measured

Find the minimum distance between the point (1, 0, 0)^Tand the plane x + y − z = 0 when distance is measured in

(a) The Euclidean norm;

(b) The weighted norm ΙΙ w ΙΙ = 2 w +2w2 +3w ,2 1

2 w +2w2 +3w ,2 1

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ANSWER To find the minimum distance between the point 1 0 0T and the plane x y z 0 we need to find the perpendicular distance between the point and the plane Let the point on the plane closest to 1 0 ... View full answer

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