Let R? have the inner product of Euclidian Space and let x = (1,1) and y...

 

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Let R? have the inner product of Euclidian Space and let x = (1,1) and y = (5,-1) (a) Find ||x||, |ly|| and |(x, y)2 (b) Describe all vectors (z1, z2) that are orthogonal to y. (c) Also show Cauchy Schwarz inequality holds for x = (3, -2) and y = (-2,1). Let R? have the inner product of Euclidian Space and let x = (1,1) and y = (5,-1) (a) Find ||x||, |ly|| and |(x, y)2 (b) Describe all vectors (z1, z2) that are orthogonal to y. (c) Also show Cauchy Schwarz inequality holds for x = (3, -2) and y = (-2,1).