Question

Encontre modulo do vetor u= 6i+3j-2k.

Answer 1

$\overrightarrow{\mathbf{u}}=6\!\overrightarrow{\mathbf{i}}+3\!\overrightarrow{\mathbf{j}}-2\!\overrightarrow{\mathbf{k}}$


Para calcular o módulo do vetor, basta tomarmos a soma dos quadrados as coordenadas, e tirar a raiz:

$\|\overrightarrow{\mathbf{u}}\|=\sqrt{6^2+3^2+(-2)^2}\\\\ \|\overrightarrow{\mathbf{u}}\|=\sqrt{36+9+4}\\\\ \|\overrightarrow{\mathbf{u}}\|=\sqrt{49}\\\\ \|\overrightarrow{\mathbf{u}}\|=7~~~~~\checkmark$


Bons estudos! :-)