Let $$ \mathbf{u}=\langle 4,-2\rangle $$ and $$ \mathbf{v}=\langle-3,-5\rangle $$. Express $$ \mathbf{u}+\mathbf{v} $$ in the form $$ \langle a, b\rangle $$. $$ \mathbf{u + v}=\mathbf{n} $$ (Simplify your answers.)

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To find $$ \mathbf{u} + \mathbf{v} $$, add the corresponding components of vectors $$ \mathbf{u} $$ and $$ \mathbf{v} $$:

$$
\mathbf{u} + \mathbf{v} = \langle 4, -2 \rangle + \langle -3, -5 \rangle = \langle 4 + (-3), -2 + (-5) \rangle = \langle 1, -7 \rangle
$$

So,

$$
\mathbf{u} + \mathbf{v} = \mathbf{n} = \langle 1, -7 \rangle
$$
$$ \mathbf{u} + \mathbf{v} = \langle 1, -7 \rangle $$

Let and . Express in the form .
(Simplify your answers.)

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