Question: 2. Consider the vectors 'u, = (1,1,1) E R3,'v = (1, 0, 1) E R3 (3.) Compute the dot product 11. - v and the

2. Consider the vectors 'u, = (1,1,1) E R3,'v = (1, 0, 1) E R3 (3.) Compute the dot product 11. - v and the vector to = u X 11. (b) Compute the volume of the parallelpiped dened by w, u, and 'v. (0) Consider the volume of the parallelpiped dened by 'w u, u, '0. Using properties of the dot and cross products (not a numerical computation!) show that the volume is equal to that of the parallelpiped from the previous question. Is there a geometric (non-computational) reason you expect this to be true

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