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tangare [24]
3 years ago
10

The weighted-average method is best used for

Mathematics
1 answer:
Tresset [83]3 years ago
8 0
D. Homogeneous products
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Compute a · (b ✕ c), where a = i − 3j + k, b = 4i + j + k and c = 9i − j + 3k.
grandymaker [24]
\mathbf a=\mathbf i-3\,\mathbf j+\mathbf k
\mathbf b=4\,\mathbf i+\mathbf j+\mathbf k
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\mathbf b\times\mathbf c=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&1&1\\9&-1&3\end{vmatrix}=4\,\mathbf i-3\,\mathbf j-13\,\mathbf k

\mathbf a\cdot(\mathbf b\times\mathbf c)=(\mathbf i-3\,\mathbf j+\mathbf k)\cdot(2\,\mathbf i-3\,\mathbf j-13\,\mathbf k)=4+(-3)^2-13=0
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