If $\mathbf{a}=-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+\hat{\mathbf{j}}-3 \hat{\mathbf{k}}$ and $\mathbf{c}=-4 \hat{\mathbf{i}}-\hat{\mathbf{k}}$, then $\mathbf{a} \times(\mathbf{b} \times \mathbf{c})+(\mathbf{a} \cdot \mathbf{b}) \mathbf{c}$

• Correct answer
  A

  $5 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}-15 \hat{\mathbf{k}}$
• B

  $0$
• C

  $12 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}$
• D

  $-3 \hat{\mathbf{i}}+6 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}$

Hence, the correct answer is option: 'A'.