Answer:
see explanation
Step-by-step explanation:
(a)
AB = b - a = [tex]\left[\begin{array}{ccc}1\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-4\\-4\\\end{array}\right][/tex]
(b)
BA = a - b = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}1\\-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}4\\4\\\end{array}\right][/tex]
(c)
AC = c- a = [tex]\left[\begin{array}{ccc}-2\\4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-7\\3\\\end{array}\right][/tex]
(d)
CB = b - c = [tex]\left[\begin{array}{ccc}1\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2\\4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\-7\\\end{array}\right][/tex]
