Express vector \(\overset\longrightarrow{AC}\) in terms of vectors

1.	Express vector \(\overset\longrightarrow{AC}\) in terms of vectors \(\overset\longrightarrow{AB}\) and \(\overset\longrightarrow{CB}\) shown in the following figure.
Answer» Using the triangle law of addition of vectors, \(\overset\longrightarrow{AC}\) + \(\overset\longrightarrow{CB}\) = \(\overset\longrightarrow{AB}\) ∴ \(\overset\longrightarrow{AC}\) = \(\overset\longrightarrow{AB}\) – \(\overset\longrightarrow{CB}\)

Express vector \(\overset\longrightarrow{AC}\) in terms of vectors \(\overset\longrightarrow{AB}\) and \(\overset\longrightarrow{CB}\) shown in the following figure.

Answer»

Using the triangle law of addition of vectors,

\(\overset\longrightarrow{AC}\) + \(\overset\longrightarrow{CB}\) = \(\overset\longrightarrow{AB}\)

∴ \(\overset\longrightarrow{AC}\) = \(\overset\longrightarrow{AB}\) – \(\overset\longrightarrow{CB}\)