Question

Dado os vetores u=(1,-1), v=(-3,4) e w=(8,-6), calcular:

a)I u I
b)I w I
c)I u+v I
d) v/ I v I

Answer 1

a)$\sqrt{1^2+(-1)^2}$
$\sqrt{1+1}$
$\sqrt{2}$
b)$\sqrt{8^2+(-6)^2}$
$\sqrt{64+36} \\ \sqrt{100} \\ 10$
c)$\sqrt{(1-(-3))^2+(-1-4)^2} \\ \sqrt{16+25} \\ \sqrt{41}$
d)$( \sqrt{(-3)^2+4^2} \\ \sqrt{9+16} \\ \sqrt{25} \\ 5$
então $\frac{v}{║v║}$= $\frac{5}{5}$ Ou $\frac{5}{-5}$ = 1 ou -1