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

Find the direction angle of the vector below. Round to the nearest thousandth. Show-example-1
User Huff
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1 Answer

4 votes

For a vector given in the form:


v=ai+bj

the direction angle of the vector is given to be:


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

The vector is given in the question to be:


v=3i+4j

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.

User SammyRNYCreal
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