Question

Considere os vetores u = (6, 6, 1), v = (2, 3, 5), w = (-3, -4, 1). Calcule:
a) (u.v).w

Answer 1

$Ola'~~~\mathbf{Maria} \\ \\ O ~resultado~fornece~o~volume~do~paralepipedo, formado~por~eles \\ \\ V=|\vec{u}.\vec{v}.\vec{w}| \\ \\ V=\begin{bmatrix}6&6&1 \\ 2&3&5 \\ -3&-4&1\end{bmatrix}\begin{vmatrix}6&6 \\ 2&3 \\ -3&-4\end{vmatrix} \\ \\ \\ V=\bigg|(-9-120+12)-(18-90-8)\bigg| \\ \\ V=\bigg|-117-(-80)\bigg| \\ \\ V=|-117+80| \\ \\ V=|-37| \\ \\ \boxed{\boxed{V=37}}\\ \\ \\ \mathbb{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx} \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$