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Answer the first part please
arch
2. In each part, determine whether the set of vectors is orthogonal and whether it is
orthonormal with respect to the Euclidean inner product on R³.
a)
b)
12/12/201
[1,0,0], [0, 1, [0,0,1 ]
3. Let R³ have the Euclidean inner product and use the Gram-Schmidt process to transform
the basis {u₁, u2, u3} into an orthonormal basis.
u₁ = [1, 1, 1], u2 = [−1, 1, 0], u3 = [1, 2, 1]
ttt
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Transcribed Image Text:arch 2. In each part, determine whether the set of vectors is orthogonal and whether it is orthonormal with respect to the Euclidean inner product on R³. a) b) 12/12/201 [1,0,0], [0, 1, [0,0,1 ] 3. Let R³ have the Euclidean inner product and use the Gram-Schmidt process to transform the basis {u₁, u2, u3} into an orthonormal basis. u₁ = [1, 1, 1], u2 = [−1, 1, 0], u3 = [1, 2, 1] ttt O IA Display Settings Focus W
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