Question

What is the direction of v? find in degrees Round to the nearest hundredth

Answer 1

Given the vector;

`\vec{v}=(-5,9)`

The direction of vector v is angle in standard position such that;

`\begin{gathered} \tan \theta=(y)/(x) \\ 0\leq\theta\leq2\pi \end{gathered}`

Thus, the value of x and y given is;

`\begin{gathered} x=-5,y=9 \\ \tan \theta=(9)/(-5) \\ \theta=\tan (-1.8) \end{gathered}`

Then;

`\begin{gathered} \theta=-60.95^o \\ \theta=-60.95+180^o \\ \theta=119.05^o \end{gathered}`

FINAL ANSWER:

`119.05^o`