ANSWER:
[tex]6\sqrt{5}[/tex]
EXPLANATION:
Given:
u = <2, 0>
v = <-3, 6>
||-2v||
To find:
The magnitude of the scalar multiple
We can go ahead and solve as seen below;
[tex]\begin{gathered} -2v=<-2(-3),-2(6)> \\ \\ -2v=<6,-12> \\ \\ \therefore||-2v||=\sqrt{6^2+(-12)^2} \\ \\ =\sqrt{36+144} \\ \\ =\sqrt{180} \\ \\ =\sqrt{36*5} \\ \\ =6\sqrt{5} \end{gathered}[/tex]
