Find the Area of the Parallelogram $\mathrm { P } _ { 1 } ( - 1,0,2 ) , \mathrm { P } _ { 2 } ( 2,1 , - 2 ) , \mathrm { P } _ { 3 } ( 2 , - 1,4 )$

question 227

Multiple Choice

Find the area of the parallelogram.
- $\mathrm { P } _ { 1 } ( - 1,0,2 ) , \mathrm { P } _ { 2 } ( 2,1 , - 2 ) , \mathrm { P } _ { 3 } ( 2 , - 1,4 )$

• A) \(\sqrt { 26 }\)
• B) \(4 \sqrt { 5 }\)
• C) \(2 \sqrt { 91 }\)
• D) \(\sqrt { 14 }\)

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Definitions:

Profits Maximization

The process or strategy employed by a business to increase its net earnings and achieve the highest level of profit possible.

Price Received

The amount of money paid to a producer or seller for a product or service.

Production Function

A mathematical model describing the relationship between input factors (like labor and capital) and output, indicating how much can be produced with given resources.

Supply Function

A mathematical relation showing the quantity of a good that producers are willing and able to sell at different prices, holding other factors constant.