2. Let x = (2,1+i, i) and y = (2-i, 2, 1+2i) be vectors in C3....

 

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2. Let x = (2,1+i, i) and y = (2-i, 2, 1+2i) be vectors in C3. Compute (x, y), la, ly, and ||x + y|. Then verify both the Cauchy-Schwarz inequality and the triangle inequality. 3. In C([0, 1]), let f(t) = t and g(t) = e. Compute (f,g) f, g, and f+g||. Then verify both the Cauchy- Schwarz inequality and the triangle inequality. 2. Let x = (2,1+i, i) and y = (2-i, 2, 1+2i) be vectors in C3. Compute (x, y), la, ly, and ||x + y|. Then verify both the Cauchy-Schwarz inequality and the triangle inequality. 3. In C([0, 1]), let f(t) = t and g(t) = e. Compute (f,g) f, g, and f+g||. Then verify both the Cauchy- Schwarz inequality and the triangle inequality.