¡ cs] Demonstrate how any vector x E R¹ can be expressed as a linear combination of the following (e; = 1,i = 1,...,n) vectors in R¹¹: e₁ ej = 0, ji L nts] Use your answer to part (a) to express the vector x₁ = (el = 1,i = 1,2,3) ¹e₁=0 vji 1 Calculate |x₁|. Assume R is an Euclidean metric space. vectors in R³: e₁ Part B its] Demonstrate how any vector x € R³ can be expressed as a linear combination of the following (ê₁ = 0, i = 1,2,3) vectors in R³: ₁ e = 1, Vj * i * Use your answer to part (d) to express the vector X₂ = (ê¡ = 0, i = 1,2,3) êj = 1, Vj #i 2 as a linear combination of the following vectors in R³: ê, 2 -3 as a linear combination of the following

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