Question

координаты a(4;3;3) b(-7;-4;6) c(5;3;-3)

Answer 1

$A(4,3,3)\; ,\; \; B(-7,-4,6)\; \; ,\; \; C(5,3,-3)\\\\\\.[\, \overline {AB}\times \overline {AC}\, ]=\left|\begin{array}{ccc}i&j&k\\-11&-7&3\\1&0&-6\end{array}\right|=42i-63j+7k\\\\\\|\, [\, \overline {AB}\times \overline {AC}\, ]\, |=\sqrt{42^2+63^2+7^2}=\sqrt{5782}=7\sqrt{118}\\\\\\S(\Delta )=\frac{7}{2}\cdot \sqrt{118}$