Question

Find the$\parallel v\parallel$, if$v=-2i+3j$

Short answer

solution is$\parallel v\parallel =3.605$, if$v=-2i+3j$$Thevalueof\parallel v\parallel is3.605,ifv=-2i+3j$

Step-by-step solution

step 1.Given information

$v=-2i+3j$

step 2.solution

We already know that $\parallel v\parallel =\sqrt{{\left(a\right)}^2+{\left(b\right)}^2}$, if$v=ai+bj$ here$a=-2\&b=3$
$$\begin{gathered} \parallel v\parallel =\sqrt{{\left(-2\right)}^2+{\left(3\right)}^2} \\ \parallel v\parallel =\sqrt{4+9} \\ \parallel v\parallel =\sqrt{13} \\ \parallel v\parallel =3.605 \end{gathered}$$