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Let be the hyperplane which contains the vector [1 0 1] and consists of all vectors such that [1 0 1] is orthogonal to [1

Let be the hyperplane which contains the vector [1 0 1]" and consists of all vectors such that [1 0 1]" is orthogonal to [1 1 1]". Prove or disprove that [1 1 0]" is in the hyperplane

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