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Mathematics-Online problems:

Interactive Problem 41: Orthogonality and Linear Dependence

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
Let

$\displaystyle v=\left(\begin{array}{r} -1\\ -3\\ 1\end{array}\right), \quad w=\... ...end{array}\right), \quad y=\left(\begin{array}{r} a\\ 2\\ 0\end{array}\right). $

Find:
a) $ \vert v\times w\vert^2$ ,     b) $ \left<w\times x, v\right>$
Determine $ a\in\mathbb{R}$ such that $ \ldots$
c)$ x$ and $ y$ are orthogonal.
d)$ v$ , $ w$ and $ y$ are linearly dependent.

Solution:
a),         b) ,         c) ,         d) $ /5$
   

(Authors: App/Apprich/Höfert)

see also:

  automatically generated: 8/11/2017