Use the properties of vectors to solve the following equation for the unknown vector $$ \mathbf{x}=\langle\mathrm{a}, \mathrm{b}\rangle $$. Let $$ \mathbf{u}=\langle-4,4\rangle $$. $$ 10 \mathbf{x}=\mathbf{u} $$ $$ \mathrm{x}=\langle\square, \square $$ (Simplify your answers. Type integers or a fractions.)

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To solve for the unknown vector $$ \mathbf{x} = \langle a, b \rangle $$ in the equation:

$$
10 \mathbf{x} = \mathbf{u} = \langle -4, 4 \rangle
$$

We can divide both components of the equation by 10:

$$
\mathbf{x} = \frac{\mathbf{u}}{10} = \left\langle \frac{-4}{10}, \frac{4}{10} \right\rangle
$$

Simplifying the fractions:

$$
\mathbf{x} = \left\langle -\frac{2}{5}, \frac{2}{5} \right\rangle
$$

**Answer:** 
$$
\mathbf{x} = \left\langle\,-\dfrac{2}{5},\;\dfrac{2}{5}\,\right\rangle
$$
$$ \mathbf{x} = \left\langle -\dfrac{2}{5}, \dfrac{2}{5} \right\rangle $$

Use the properties of vectors to solve the following equation for the unknown vector . Let .

(Simplify your answers. Type integers or a fractions.)

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Use the properties of vectors to solve the following equation for the unknown vector . Let . (Simplify your answers. Type integers or a fractions.)