8 (a) Determine whether v and v are orthogonal in the unitary space C with the...

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8 (a) Determine whether v₁ and v₂ are orthogonal in the unitary space C² with the standard inner product. (b) Determine whether v₁ and v₂ satisfy the Pythagorean Law (i.e. ||v₁ + v₂||² = ||v₁||² + ||V₂||²). [4] an ·D· [15 pts] Let v₁ = H and V2 (c) Repeat parts (a) and (b) for the vectors u and V2 8 (a) Determine whether v₁ and v₂ are orthogonal in the unitary space C² with the standard inner product. (b) Determine whether v₁ and v₂ satisfy the Pythagorean Law (i.e. ||v₁ + v₂||² = ||v₁||² + ||V₂||²). [4] an ·D· [15 pts] Let v₁ = H and V2 (c) Repeat parts (a) and (b) for the vectors u and V2