Question

given vectors $\mathbf{u}=\langle -5,-4\
angle$ and $\mathbf{v}=\langle 6,-2\
angle$, find the sum $\mathbf{u}+\mathbf{v}$ and write the result in component form. click and drag either vector to add graphically.

Explanation:

Step1: Add the \(x\)-components

For vectors \(\mathbf{u}=\langle - 5,-4
angle\) and \(\mathbf{v}=\langle6,-2
angle\), the \(x\)-component of \(\mathbf{u}+\mathbf{v}\) is \((-5)+6\).
\((-5)+6 = 1\)

Step2: Add the \(y\)-components

The \(y\)-component of \(\mathbf{u}+\mathbf{v}\) is \((-4)+(-2)\).
\((-4)+(-2)=-4 - 2=-6\)

Answer:

\(\langle1,-6
angle\)