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Trying to work out this exercise to use a refer could you please explain this step by step Let u = 1 V = 1

Trying to work out this exercise to use a refer could you please explain this step by step

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Let u = 1 V = 1 and w = P= Q= R= S= T= UE 9 4 1 1 3 4 (i) Calculate the angle between the two vectors u and v. [5 marks] (ii) Find the value of a such that u and w are orthogonal. [5 marks] (iii) Find the value of a such that u, v, w are linearly dependent. [15 marks] (iv) Using the result in (iii) choose a value of a such that u, v, w are linearly independent and obtain a basis for the three-dimensional space R$ using Gaussian Elimination Method. (Marks will be awarded only with Gaussian Elimination Method) [15 marks]

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