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Lesson 19

HL19

How to write a norm symbol in LaTeX 2025

SOLVED: Define the norm of a vector x = (r1, T2, T3, 14) ∈ ℝ' with respect to the standard inner product. What is the norm of (5.2, -3, 1)? [2 marks] What does it mean for two vectors x, y ∈ ℝ' to be orthogonal? Are (1, -1, -2, 0) and (8, 2, 3, 6) orthogonal? [2 marks] What does it mean for a set of vectors in ℝ⁴ to be orthogonal? Is (0, 10, 7, 0), (5, 0, 0, 1) an orthonormal set? Justify your answer [2 marks]. Use the Gram-Schmidt process to construct an orthonormal basis for ℝ' s

L1