Given Vectors $\mathbf { u } = \left\langle u _ { 1 } , u _ { 2 } \right\rangle , \mathbf { v } = \left\langle v _ { 1 } , v _ { 2 } \right\rangle$

Multiple Choice

Given vectors $\mathbf { u } = \left\langle u _ { 1 } , u _ { 2 } \right\rangle , \mathbf { v } = \left\langle v _ { 1 } , v _ { 2 } \right\rangle$ , and $\mathbf { w } = \left\langle w _ { 1 } , w _ { 2 } \right\rangle$ , determine whether the result of the following expression is a vector or a scalar.
$$\mathbf { u } \cdot \mathbf { w } + \mathbf { v } \cdot \mathbf { w }$$

A) vector
B) scalar