Problem

Give the component form of the resultant vector in the following.
NOTE: Answer must be typed in using the following format -- including the parentheses: (\#,\#)
\[
\begin{array}{l}
\mathbf{u}=(16,-8) \\
\mathbf{v}=(-5,3) \\
\mathbf{u}+\mathbf{v}=?
\end{array}
\]
Enter answer:

Answer

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Answer

\(\boxed{(11, -5)}\) is the component form of the resultant vector

Steps

Step 1 :Given vectors \(\mathbf{u}=(16,-8)\) and \(\mathbf{v}=(-5,3)\), we need to find \(\mathbf{u}+\mathbf{v}\)

Step 2 :Calculate the sum of the corresponding components: \(\mathbf{u}+\mathbf{v}=(16+(-5), -8+3)=(11, -5)\)

Step 3 :\(\boxed{(11, -5)}\) is the component form of the resultant vector

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