For the Points $A ( 1 , - 2 , - 1 ) , B ( 2 , - 7,4 ) , C ( 1 , - 6 , - 5 ) , D ( 2 , - 11,0 )$

question 109

Essay

For the points $A ( 1 , - 2 , - 1 ) , B ( 2 , - 7,4 ) , C ( 1 , - 6 , - 5 ) , D ( 2 , - 11,0 )$ :
a. Verify that the points are vertices of a parallelogram. Show all work.
b. Find the area of the parallelogram. Show all work.
c. Determine whether the parallelogram is a rectangle.

---

Definitions:

Banking System

The network of banking institutions and regulations that provide financial services to individuals, businesses, and the government.

Excess Reserves

The amount of reserves a bank holds beyond the required minimum, which can be lent out to stimulate economic activity or held to meet future needs.

Create Money

The process by which central banks or monetary authorities increase the money supply.

Deposit Account

A deposit account is a bank account that allows the holder to deposit and withdraw money, often earning interest, including savings accounts, checking accounts, and other transaction accounts.