(a) Explain why the formula for the Euclidean norm in R2 follows from the Pythagorean Theorem. (b)...
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(b) How do you use the Pythagorean Theorem to justify the formula for the Euclidean norm in R3? Hint: Look at Figure 3.1.
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In mathematics, the Pythagorean theorem, or Pythagoras\' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
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