please help solve all of these questions much appreciated In this question, you will apply the Gram-Schmidt process.The subspace V has a basis of three vectors #₁ =(c) Normalise v₂l, to give the vector v2. Enter the answer exactly.(a) Normalise vector ₁ to give the vector v1.Note: You must enter your answer as a vector, using square brackets []. Enter each component in exact form, possibly with a square-root. For example:[1/sqrt(2), 1/sqrt(3), 1/sqrt(6)].(f) Project the vector(b) Find the component of 2 orthogonal to ₁. Enter the answer exactly. This will become the vector v₂!.(g) Project the vector42=8-166(d) Find the component of u3 orthogonal to both v1 and v2. Enter the answer exactly. This will become the vector v3/.53(e) Normalise v3', to give the vector v3. Enter the answer exactly, possibly with a square-root. For example, the square root of 5 is entered as sqrt(5).-3and u3=2214onto the same subspace.-41onto the subspace spanned by {1,2,3}.

As per our guidelines we are allowed to solve only three subparts of the given problem. Kindly…

In this question, you will apply the Gram-Schmidt process. The subspace V has a basis of three vectors u₁= 4₂= 0 and uz (c) Normalise v₂1, to give the vector v2. Enter the answer exactly. 14 -4 1 (a) Normalise vector ₁ to give the vector v1. Note: You must enter your answer as a vector, using square brackets []. Enter each component in exact form, possibly with a square-root. For example: [1/sqrt(2), 1/sqrt(3), 1/sqrt(6)]. (b) Find the component of 2 orthogonal to ₁. Enter the answer exactly. This will become the vector v₂.

In this question, you will apply the Gram-Schmidt process. The subspace V has a basis of three vectors u₁= 4₂= 0 and uz (c) Normalise v₂1, to give the vector v2. Enter the answer exactly. 14 -4 1 (a) Normalise vector ₁ to give the vector v1. Note: You must enter your answer as a vector, using square brackets []. Enter each component in exact form, possibly with a square-root. For example: [1/sqrt(2), 1/sqrt(3), 1/sqrt(6)]. (b) Find the component of 2 orthogonal to ₁. Enter the answer exactly. This will become the vector v₂.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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