Evaluate this expression,


If u = <−3, 7> and v = <5,1>.

|| v - u ||

A.) <8, -7>

B.) <8, 7>

C.) 10

D.) -10

Thank you.

Verified Answer :

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