Question

Find the direction angle of the vector u= 3i + 2j.

Answer 1

The direction angle of a vector is the measure of the angle it makes with the x-axis. In our case, the direction angle theta is:

By applying the tangent function, we get

$tan\theta=\frac{2}{3}$

So, the direction angle is given as

$\theta=tan^{-1}(\frac{2}{3})=33.690067$

By rounding this result to the nearest hundreadth, the answer is 33.69 degrees