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Mathematics-Online problems:

Interactive Problem 123, Version 1: Scalarproduct, Vectorproduct, Parallelepidial Product

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Given vectors

$\displaystyle \vec{a}= \begin{pmatrix}1 \\ -3\\ 2 \end{pmatrix} \; , \quad \ve... ...end{pmatrix} \; , \quad \vec{c}= \begin{pmatrix}2 \\ 4\\ 5 \end{pmatrix} \; $

Find
a) $ \vec{a}\cdot\vec{b}$ ,         b) $ (-\vec{b})\times\vec{a}$ ,         c) $ (\vec{a}\times\vec{b})\times\vec{c}$ ,         d) $ [\vec{c},\vec{b},\vec{a}]$ .

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


  

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  automatically generated: 8/11/2017