Find the direction angle of the vector below. Round to the nearest thousandth. Show all work.

Question

asked Feb 15, 2023 117k views

1 Answer

SammyRNYCreal · Answer 1 · 2023-02-21T12:54:06+0000

For a vector given in the form:

the direction angle of the vector is given to be:

$\theta=\tan ^(-1)((b)/(a))$

The vector is given in the question to be:

Therefore, we have that:

$\begin{gathered} a=3 \\ b=4 \end{gathered}$

Hence, the direction angle is calculated to be:

$\begin{gathered} \theta=\tan ^(-1)((4)/(3)) \\ \theta=53.130\degree \end{gathered}$

The direction angle is 53.130° to the nearest thousandth.