Compute the dot product u · v.
-$$\mathbf { u } = \left[ \begin{array} { r }
10 \
0
\end{array} \right] , \mathbf { v } = \left[ \begin{array} { c }
14 \
- 3
\end{array} \right]$$
A) 143
B) 140
C) $- 30$
D) 137

Question

Compute the dot product u · v.
-$$\mathbf { u } = \left[ \begin{array} { r } 
10 \
0
\end{array} \right] , \mathbf { v } = \left[ \begin{array} { c } 
14 \
- 3
\end{array} \right]$$
A) 143
B) 140
C) $- 30$
D) 137

Quizplus · Accepted Answer

The dot product of two vectors $\mathbf{u} = [u_1, u_2]$ and $\mathbf{v} = [v_1, v_2]$ is calculated as $u_1v_1 + u_2v_2$. For $\mathbf{u} = [10, 0]$ and $\mathbf{v} = [14, -3]$, the dot product is $10*14 + 0*(-3) = 140$.

Compute the Dot Product U · V u=[100],v=[14−3]\mathbf { u } = \left[ \begin{array} { r } 10 \\0\end{array} \right] , \mathbf { v } = \left[ \begin{array} { c } 14 \\- 3\end{array} \right]u=[100​],v=[14−3​]

Compute the Dot Product U · V $\mathbf { u } = \left[ \begin{array} { r } 10 \\0\end{array} \right] , \mathbf { v } = \left[ \begin{array} { c } 14 \\- 3\end{array} \right]$