Question

Given vectors u =<4, -1> and v= <-5, 11>find the followingto 1 decimal):||u||=

Answer 1

Answer:

$\lvert u\rvert=17$

Step-by-step explanation:

Given the vector, u =<4, -1>, determine the magnitude.

The magnitude of a vector is represented as:

$\begin{gathered} \lvert{v}\rvert=\sqrt{v1^2+v2^2} \\ where, \\ v=\langle v1,v2\rangle \end{gathered}$

Therefore, for the given vector:

$\begin{gathered} \lvert{u}\rvert=\sqrt{4^2+(-1)^2} \\ \lvert{u}\rvert=\sqrt{16+1} \\ \lvert{u}\rvert=\sqrt{17} \end{gathered}$