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=(2)/(3)`

So, the direction angle is given as

`\theta=tan^(-1)((2)/(3))=33.690067`

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