Question

Please be quick I just need answer to make sure im right

Answer 1

`||v||=(1)/(3)√(37)`

Explanation:

Given a vector v=, its magnitude is calculated using the formula:

`||\vec{v}||=√(x^2+y^2)`

Therefore for the vector <1/3, -2>:

`\begin{gathered} ||v||=\sqrt{\left((1)/(3)\right)^2+\left(-2\right)^2} \\ =\sqrt{(1)/(9)+4} \\ =\sqrt{(37)/(9)} \\ =(√(37))/(3) \\ ||v||=(1)/(3)√(37) \end{gathered}`

The magnitude of the vector is 1/3√37.

The first option is correct.