Determine Whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$

Essay

Determine whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$
is orthogonal to $\mathbf { v } = \mathbf { i } - \sqrt { 3 } \mathbf { j }$
. Justify your answer.