You are a student counsellor of N.J. Public School. You are invited by S.M. International School, Kala Puram, to address Class XII students on Goal Setting & Time Management. Write a formal letter of reply accepting the invitation and confirming your presence at the stated time, including relevant details.
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?