Question

Answer 1

a.

\(3\overrightarrow{AB}-\overrightarrow{AC}+3\overrightarrow{BC}=3\left(\overrightarrow{AB}+\overrightarrow{BC}\right)-\overrightarrow{AC}=3\overrightarrow{AC}-\overrightarrow{AC}=2\overrightarrow{AC}\)

b.

\(2\left(3\overrightarrow{AB}+2\overrightarrow{BC}\right)-3\left(2\overrightarrow{AB}+\overrightarrow{BC}\right)=6\overrightarrow{AB}+4\overrightarrow{BC}-6\overrightarrow{AB}-3\overrightarrow{BC}=\overrightarrow{BC}\)