The figure below shows two named points A and B in R².
Part 1
Part 2
a. Write the vector $\overrightarrow{BA}$ as a sum of two vectors, one parallel to $(1, 0)$ and the other parallel to $(0, -2)$.
$\overrightarrow{BA} = \langle -10, 0 \rangle + \langle 0, 7 \rangle$
b. Write the vector $\overrightarrow{BA}$ as a sum of two vectors, one parallel to $(1, 1)$ and the other parallel to $(-1, 1)$.
$\overrightarrow{BA} = \langle -10, 1 \rangle + \langle -1, 7 \rangle$