5.11.1 2.) Which of the following sets is a (geometric) simplex? If the set is a simplex, give it's dimension, and express it as the comex hull of a set of points in general position, using the bracket notation. Imag 2 a.) {(x, 3x) ER² | 0
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- state formally the Heine-Borel Theorem in R^kLet φ1 = 1, φ2 = x, φ3 = x2 on the interval 0 ≤x ≤1. Find the following inner products:(a) < φ1,φ2 >(b) < φ2,φ3 >(c) Distance between φ1 and φ2Suppose {x, y, z} is a primitive Pythagorean triple, so x2 + y2 = z2 and (x, y, z) = 1. Prove that x is odd and y is even, so z must be odd.