Find $\mathbf { u} \cdot \mathbf { v }$ And the Angle Between

Essay

Find $\mathbf { u} \cdot \mathbf { v }$ and the angle between $\mathbf { u }$ and $\mathbf { v }$ for $\mathbf { u } = \sqrt { 2 } \mathbf { i } + 2 \mathbf { j }$ , $\mathbf { v } = - 4 \mathbf { i } - 7 \mathbf { j }$ .