Question

Calcule a área do paralelogramo definido pelos vetores 2i e -3j.

Answer 1

$A = ||u \times v || \\ \\ u=(2,0,0) \\ \\ v=(0,-3,0) \\ \\ ------ \\ \\ \left[\begin{array}{ccc}i&j&k\\2&0&0\\0&-3&0\end{array}\right] = -6k \to w=(0,0,-6) \\ \\ ------ \\ \\ \\ ||w|| = \sqrt{0^{2}+0^{2}+(-6)^{2}} \to \boxed{\boxed{6}}$