Question

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.

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 √(a^2+b^2)\impliedby magnitude`