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This question is about dot products and normal forms. (a) Give an interesting example of a hyperplane HR¹ in normal form. Interesting in this context means that the normal vector should have all entries different from zero. (b) Explain how to write the hyperplane in (a) in Cartesian form and vector form step by step.

This question is about dot products and normal forms. (a) Give an interesting example of a hyperplane HR¹ in normal form. Interesting in this context means that the normal vector should have all entries different from zero. (b) Explain how to write the hyperplane in (a) in Cartesian form and vector form step by step.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. This question is about dot products and normal forms. (a) Give an interesting example of a hyperplane H≤Rª in normal form. Interesting in this context means that the normal vector should have all entries different from zero. (b) Explain how to write the hyperplane in (a) in Cartesian form and vector form step by step.
Transcribed Image Text:4. This question is about dot products and normal forms. (a) Give an interesting example of a hyperplane H≤Rª in normal form. Interesting in this context means that the normal vector should have all entries different from zero. (b) Explain how to write the hyperplane in (a) in Cartesian form and vector form step by step.
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