Question

Find the direction angle of v for the following vector.v=7i−2jPart 1What is the direction angle of v?

Answer 1

Given: the vector v

$v=7i-2j$

To Determine: The direction of the given vector

The vector diagram is as shown below

The direction of a vector is calculated by the formula

$\theta=\tan ^{-1}(\frac{y}{x})$

From the given vector, determine x and y

$x=7,y=-2$

Note, the vector is on the fourth quadrant

$\begin{gathered} \theta=\tan ^{-1}(\frac{7}{-2}) \\ \theta=74.05+270=344.05 \\ \theta\approx344.1^0 \end{gathered}$

Hence, the direction of v is 344.1⁰(nearest one decimal place)