Vector Algebra

If $\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}, \mathbf{b}=3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}$ and $\mathbf{c}=5 \hat{\mathbf{i}}+4 \hat{\mathbf{k}}$ are three vectors, then a vector which is perpendicular to $\mathbf{a}$ and $\mathbf{b} \times \mathbf{c}$ is