[问答题]
The position vectors of th
st4xj3 8smwn-e points A, B and C a
o0pw f;m i-e /d4wb2yare a, b and c, respectively, relative to the orig
0 myo2pdab;-4/ei ww fin O.
$\text { Given that } \mathbf{a} \text { is perpendicular to } \overrightarrow{\mathrm{BC}} \text { and } \mathbf{b} \text { is perpendicular to } \overrightarrow{\mathrm{CA}} \text {, prove that } \mathbf{c} \text { is perpendicular to } \overrightarrow{\mathrm{AB}} \text {. }$