Question:
Two friends while flying kites from different locations, find the strings of their kites crossing each other. The strings can be represented by vectors \(\vec{a} = 3\hat{i} + \hat{j} + 2\hat{k}\) and \(\vec{b} = 2\hat{i} - 2\hat{j} + 4\hat{k}\). Determine the angle formed between the kite strings. Assume there is no slack in the strings.