Dr Margolin, son of a poor teacher of Talmud, was a self-taught man. In his childhood days, he was lauded as a prodigy. He studied Talmud and commentaries independently and could recite long passages of the Bible by himself. He also learnt algebra and geometry by himself. At the age of seventeen, he attempted a translation that led him to be considered a genius.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?