Given the vectors below, find the dot product. \( \begin{array}{l}\mathbf{u}=[-4,-5,-7] \\ \mathbf{v}=[-9,1,3] \\ \mathbf{u} \cdot \mathbf{v}=\text { Ex: } 5\end{array} \)

To find the dot product of the vectors \( \mathbf{u} = [-4, -5, -7] \) and \( \mathbf{v} = [-9, 1, 3] \), you multiply corresponding components of the vectors and then sum those products. Calculating it step-by-step: 1. Multiply the first components: \( -4 \times -9 = 36 \) 2. Multiply the second components: \( -5 \times 1 = -5 \) 3. Multiply the third components: \( -7 \times 3 = -21 \) Now, sum those results: \( 36 + (-5) + (-21) = 36 - 5 - 21 = 10 \) So, \( \mathbf{u} \cdot \mathbf{v} = 10 \).