Let A = (1, 0, -1), B = (2, 3, 1), and C = (0, 1, 1). Then what are the vectors \(\overrightarrow{AB}\), \(\overrightarrow{AC}\)and \(\overrightarrow{BC}\)?
→
AB = (B) - (A) = (2, 3 , 1) - ( 1, 0 , -1) = vector ( 1, 3, 2)
AC = (C) - (A) = ( 0, 1 , 1 ) - (1, 0 , - 1) = vector ( -1, 1, 2)
BC = (C) - (B) = ( 0, 1 , 1) - (2, 3, 1) = vector ( -2, -2, 0 )