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Mathematics-Online problems:

Interactive Problem 123, Version 2: Scalarproduct, Vectorproduct, Parallelepidial Product

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Given vectors

$\displaystyle \vec{a}=\left(\begin{array}{c} 0 \\ 1 \\ 2 \end{array}\right),\qu... ...right),\quad \vec{c}=\left(\begin{array}{c} 2 \\ 3 \\ 4 \end{array}\right)\,. $

Find

$\displaystyle {\bf a)} \quad [\vec{a},\vec{b},\vec{c}\,]\,, \qquad {\bf b)} \qu... ...,, \qquad {\bf c)} \quad (\vec{a}\times\vec{c})\cdot (\vec{b}\times\vec{c})\,. $

Solution:
a),     b)$ \big($ ,, $ \big)^\mathrm{t}$ ,     c)


  

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  automatically generated: 8/11/2017