Two vectors are given by \vec{a} = 4.5\hat{i} + 4.2\hat{j} and \vec{b} = 9.9\hat{i} + 8.4\hat{j}. Find (a) |\vec{a} \times \vec{b}|, (b) \vec{a} \cdot \vec{b}, (c) (\vec{a} + \vec{b}) \cdot \vec{b}, and (d) the component of \vec{a} along the direction of \vec{b}?