Question

Aflati modulul vectorului AB, daca A(-2; 7) si B(4; -1).

Answer 1

$|AB| = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}\\\\ |AB|= \sqrt{(4-(-2))^2+(-1-7)^2}\\\\ |AB|=\sqrt{(4+2)^2+(-8)^2} \\\\ |AB|=\sqrt{6^2+64}\\\\ |AB|=\sqrt{36+64}\\\\ |AB|=\sqrt{100}\\\\ |AB|=10\\\\ AB=|10|\\\\ \boxed{\bold{AB=10}}$