Решение

\((\vec{HB} + \vec{BA} - \vec{TA}\) - (\(\vec{PM} - \vec{TM}\)) = (\vec{AH} - \vec{TA}\) - (\(\vec{PM} + (-\vec{TM}\)) = \((\vec{HA}+(-\vec{TA})\) - (\(\vec{PM}+\vec{MO}\)) = (\(\vec{HA}+\vec{AT}\)) - \(\vec{PT}\) = \(\vec{HT} - \vec{PT}\) = \(\vec{HP}\).

Ответ: \(\vec{HP}\)