A set of three vectors {v₁, v₂, v₃} in a vector space is an orthogonal set if each is vector is a non-zero vector, and if every vector is orthogonal with the other two. This means explicitly that v₁ . v₂ = v₂ . v₃ = v₃ . v₁ = 0 so for example
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[ 4 ] . [-2 ] . [-1 ] is an orthogonal set in R³. Can you find a set of three orthogonal vectors in R³ which includes the
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vector [-4 ] is? Such a set is _______
[-3 ]