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