MAT2LAL: Develop your Mathematical Communication Skills - Mathematics Assignment Help

Assignment Task :

The assignments are designed to help you master the concepts in this subject, and also for you to develop your mathematical communication skills. Please note that often it is not the final answer that is important, but your mastery of the required techniques, the way you communicate your ideas and your approach to the problems. 

Question 2 You are probably familiar with Pythogoras’ theorem in the plane, and may know a nice proof. The axioms of real inner product spaces (such as n-dimensional Euclidean space) allow us to prove Pythagoras’ theorem in any such space V . 

(a) We first need to think about what a ‘right angle triangle’ is in V . Let x ? and y ? be the two shorter sides of our triangle, and x ? + y ? be the longer side. What condition on x ? and y ? would make this a ‘right angle triangle’? 

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