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Hi! This is part 2 of my linear algebra question! Thank you so much for your help! ^w^ Q2 Let u= R and W= 1

Hi! This is part 2 of my linear algebra question! Thank you so much for your help! ^w^

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Q2 Let u= R and W= 1 U (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 IR using Gaussian Elimination Method. (Marks will ONLY be awarded for Gaussian Elimination Method) [15 marks]

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