In plane R^2, we define the taxicab metric: d((x_1,y_1),(x_2,y_2)) = |x_1 −x_2|+ |y_1 −y_2|. Show that d is a metric. (H
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In plane R^2, we define the taxicab metric: d((x_1,y_1),(x_2,y_2)) = |x_1 −x_2|+ |y_1 −y_2|. Show that d is a metric. (H
In plane R^2, we define the taxicab metric:d((x_1,y_1),(x_2,y_2)) = |x_1 −x_2|+ |y_1 −y_2|. Show that d is ametric. (Here |·| is the absolute value sign.)