A norm on V satisfies triangle inequality, scalar homogeneity, and positive-definiteness. Consider ∥(x1,x2,x3)∥=∣x1+x2+x3∣ on R3. Which conditions are satisfied?
Q43
10 Jul 2022
Mathematics 2 · Week 7
Q43.A norm on V satisfies triangle inequality, scalar homogeneity, and positive-definiteness. Consider ∥(x1,x2,x3)∥=∣x1+x2+x3∣ on R3. Which conditions are satisfied?