Question

Find the specified vector or scalar.

u = -4i + 1j and v = 4i + 1j; Find ||u+v||

a. sqrt32

b. 2

c. 5

d. 8

Answer 1

`\bf \begin{cases} u=-4i+1j\implies & \ \textless \ -4,1\ \textgreater \ \\ v=4i+1j\implies &\ \textless \ 4,1\ \textgreater \ \end{cases}\qquad u+v\implies \ \textless \ -4,1\ \textgreater \ +\ \textless \ 4,1\ \textgreater \ \\\\\\ \ \textless \ -4+4~,~1+1\ \textgreater \ \implies \ \textless \ 0,2\ \textgreater \ \\\\ -------------------------------\\\\ \stackrel{magnitude}u+v\implies √(0^2+2^2)\implies 2`