The vector \(\vec{a} = -3\hat{i} - \hat{j}\) m is shown below, as well as another vector \(\vec{b}\) that has length \(b = 3\) m and makes an angle \(\theta = \frac{7}{9}\pi\) rad with \(\vec{a}\).
Matlab/Mathematica input:
a = [-3, -1, 0];
bLength = 3;
What are the components of \(\vec{b}\)?
\(\vec{b} = \underline{\qquad}\hat{i} + \underline{\qquad}\hat{j}\) m