Questions: Find the vector ( overrightarrowA B ) in ( mathbbR^2 ) given in the figure. (overrightarrowA B=square(1)) help (vectors)

Find the vector ( overrightarrowA B ) in ( mathbbR^2 ) given in the figure. (overrightarrowA B=square(1)) help (vectors)
Transcript text: Find the vector $\overrightarrow{A B}$ in $\mathbb{R}^{2}$ given in the figure. \[ \overrightarrow{A B}=\square(1) \text { help (vectors) } \]
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Solution

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Find the vector \(\overrightarrow{AB}\) in \(\mathbb{R}^2\) given in the figure.

Identify the coordinates of points A and B.

From the graph, point A has coordinates \((3, -1)\), and point B has coordinates \((-1, 0)\).

Write the vector \(\overrightarrow{AB}\).

The vector \(\overrightarrow{AB}\) is given by \(B - A\). In coordinate form, this is \((-1 - 3, 0 - (-1)) = (-4, 1)\).

\(\boxed{(-4, 1)}\)

\(\overrightarrow{AB} = (-4, 1)\)

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