Exercise 22
The dot product of the vectors \( \vec{V} \) and \( \vec{W} \) is:
-
\( -2 \)
-
\( 1 \)
-
\( 0 \)
-
\( 2 \)
-
\( -1 \)
Try to solve it before checking the answer.
-
\( -2 \)
Indeed:
\[
\vec{V} = (1, \, 1) \quad \text{ and } \quad
\vec{W} = (0, -2)
\]
Hence,
\[
\begin{aligned}
\vec{V} \cdot \vec{W}
&=
(1, \, 1) \cdot (0, -2)
\\[.5em]
&=
(1 \times 0) + (1 \times (-2))
\\[.5em]
&=
0 – 2
\\[.5em]
&= \boldsymbol{-2}
\end{aligned}
\]