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The figure below shows two named points $A$ and $B$ in $\mathbb{R}^2$ .

Part 1

Find the coordinate vector for $\overrightarrow{AB}$ .
$\overrightarrow{AB} =$

Write the vector $\overrightarrow{AB}$ as a sum of two nonzero, nonparallel vectors.
$\overrightarrow{AB} =$ +

Write the vector $\overrightarrow{AB}$ as a sum of three nonzero vectors none of which is parallel to the others.
$\overrightarrow{AB} =$ + +

Part 2

Write the vector $\overrightarrow{BA}$ as a sum of two vectors, one parallel to $\langle 1, 0 \rangle$ and the other parallel to $\langle 0, -2 \rangle$ .
$\overrightarrow{BA} =$ +

Write the vector $\overrightarrow{BA}$ as a sum of two vectors, one parallel to $\langle 1, 1 \rangle$ and the other parallel to $\langle -1, 1 \rangle$ .
$\overrightarrow{BA} =$ +

You can earn partial credit on this problem.