1. If vectors = (1,1,-1) and = (-2,5,1) are given, calculate i) 8,u,v; =? ii) a...

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1. If vectors = (1,1,-1) and = (-2,5,1) are given, calculate i) 8,u,v; =? ii) a = u, v, iii) p = au; 2. a) Show that the vectors v =(1,2,0), v =(1,3,2), and v,-(2,0,-1) form a linearly independent set. Express u=(1,-1,3) as a linear combination of the three vectors V1, V2, and V3. b) If the linearly independent set of vectors v=(1,2,0), v=(1,3,2) and 3-(2,0,-1) are given, obtain the orthonormal set u, , 3. 1. If vectors = (1,1,-1) and = (-2,5,1) are given, calculate i) 8,u,v; =? ii) a = u, v, iii) p = au; 2. a) Show that the vectors v =(1,2,0), v =(1,3,2), and v,-(2,0,-1) form a linearly independent set. Express u=(1,-1,3) as a linear combination of the three vectors V1, V2, and V3. b) If the linearly independent set of vectors v=(1,2,0), v=(1,3,2) and 3-(2,0,-1) are given, obtain the orthonormal set u, , 3.