The points AAA, BBB, C C\,C and D D\,D have position vectors a=i+2j\mathbf{a} = \mathbf{i} + 2\mathbf{j}a=i+2j, b=7i+5j\mathbf{b} = 7\mathbf{i} + 5\mathbf{j}b=7i+5j, c=9i+j\mathbf{c} = 9\mathbf{i} + \mathbf{j}c=9i+j and d=3i−2j\mathbf{d} = 3\mathbf{i} - 2\mathbf{j}d=3i−2j.
Show that ABCD ABCD\,ABCD is a parallelogram.
Find the exact perimeter of ABCDABCDABCD.