Question

Evaluate this expression,

Answer 1

$\bf \begin{cases} u = \ \textless \ -3, 7\ \textgreater \ \\ v = \ \textless \ 5,1\ \textgreater \ \\ --------------\\ v-u\\ \ \textless \ 5,1\ \textgreater \ -\ \textless \ -3,7\ \textgreater \ \\ \ \textless \ 5-(-3)\ ,\ 1-7\ \textgreater \ \\ \qquad a\qquad \quad \quad b \end{cases} \\\\\\ ||v-u||\implies ||\ \textless \ a,b\ \textgreater \ ||\implies \sqrt{a^2+b^2}\impliedby magnitude$