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:
Solution
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
