Question

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

Answer 1

`\lvert u\rvert=17`

Explanation:

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

The magnitude of a vector is represented as:

`\begin{gathered} \lvert{v}\rvert=√(v1^2+v2^2) \\ where, \\ v=\langle v1,v2\rangle \end{gathered}`

Therefore, for the given vector:

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