Question: Please use the following values for: P = 1, Q = 1, R = 6, S = 6, T =7, U=8 Let u = 1

Please use the following values for: P = 1, Q = 1, R = 6, S = 6, T =7, U=8 Let u = 1 = R and W = (i) Calculate the angle between the two vectors u and v. (ii) Find the value of a such that u and w are orthogonal. (iii) Find the value of a such that u, v, w are linearly dependent. (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)

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