A well-known theorem of elementary geometry states that the sum of the squares of the sides of a parallelogram equals the sum of the squares of its diagonals. Prove that this called parallelogram law is true for the norm in R: 2||f|| + 2||g||? = ||f + g||? + ||f- g||?.
A well-known theorem of elementary geometry states that the sum of the squares of the sides of a parallelogram equals the sum of the squares of its diagonals. Prove that this called parallelogram law is true for the norm in R: 2||f|| + 2||g||? = ||f + g||? + ||f- g||?.
Chapter2: Equations And Inequalities
Section2.1: The Rectangular Coordinate Systems And Graphs
Problem 58SE: Given the graph of the rectangle shown and the coordinates of its vertices, prove that the diagonals...
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