Let A=(1,0,−1),B=(2,3,1), and C=(0,1,1). Then what are the vectors →AB,→AC, and →BC, in that order? (The first column of your answer should be the first vector, etc.)
A = ( 1, 0, -1) B = (2, 3, 1) C = (0, 1, 1)
vector AB = ( 2 - 1, 3 - 0 , 1 - -1 ) = ( 1, 3, 2)
vector AC = ( 0 - 1, 1 - 0, 1 - -1) = ( -1, 1, 2)
vector BC = ( 0 - 2, 1 - 3, 1 - 1) = ( -2, -2, 0 )