Consider the following vectors in R³: Give examples of vectors V1 Enter the vector w in the form [C₁, C2, C3]: 4 = [3] 13 5 B W2 and z = W3 satisfying the following conditions: • All entries of W and Z are non-zero integers. • The vector w is not equal to V₁, V₂,V3 and w E Span(V₁, V₂,V3). • z & Span(V₁, V2,V3). Enter the vector Z in the form [C₁, C2, C3]: W = V3 = Z₁ Z2 Z3 [ 12 3 18

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A: The solution are next step

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A: Given space W =

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Q: Consider the vectors u₁ = and the vector w = 3 H Q- W U2 = []} Uz = U2+ →→→→ →→→→ If u IS in the…

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Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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A: This is a problem of vector Algebra.

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Q: Q1. Construct an orthogonal set of vectors from the following vectors: X1 = k,X2 ,X3 %3D 14]

A: Use the usual inner product in the vectors and Gramm-smidth orthogonalisation process.