Question

Given vectors u=(70.707,84.265) and u=(-56.382,20.521) use the dot product to multiply the vectors

Answer 1

Step 1

Given;

`\begin{gathered} u=(70.707,84.265) \\ v=(-56.382,20.521) \end{gathered}`

Required; To find the dot product

Step 2

Find the dot product

`\begin{gathered} \begin{pmatrix}70.707 & 84.265\end{pmatrix}\begin{pmatrix}-56.382 & 20.521\end{pmatrix}= \\ =70.707\left(-56.382\right)+84.265\cdot \:20.521 \\ =-2257.400009 \\ \end{gathered}`

The answer thus is;

`-2257.400009`