Let x=(1,1,1,1)^T and y=(8,2,2,0)^T (a) Determine the angle theta between x and y (b) find the vector projection p of x onto y (c) verify that x-p is orthognal to p (d) compute ||x-p||, ||p||, ||x|| and verify that the pythagorean law is satisfied

Let x=(1,1,1,1)^T and y=(8,2,2,0)^T (a) Determine the angle theta between x and y (b) find the vector projection p of x onto y (c) verify that x-p is orthognal to p (d) compute ||x-p||, ||p||, ||x|| and verify that the pythagorean law is satisfied

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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Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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