Mathematik-Online problems: Problem 222: Vector Respresentation With Respect to Orthonormal Basis

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	Mathematik-Online problems:
	Problem 222: Vector Respresentation With Respect to Orthonormal Basis

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

#./aufgabe222_en.tex#Normalize the orthogonal vectors

$\displaystyle \vec{a} = \left(\begin{array}{c} 1\\ 0\\ 1\end{array}\right), \hs... ...space*{0.2cm} \vec{c} = \left(\begin{array}{r} -2\\ -2\\ 2\end{array}\right),$

and find the coefficients of the unit vector

$\displaystyle \vec{x}=\frac{1}{3}\left(\begin{array}{c} 2\\ 1\\ 2\end{array}\right)$

relative to the orthonormal basis found in the first step. What do we know about the sum of the squares of the coefficients?

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automatisch erstellt am 18. 1. 2017