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Evaluate a Third-Order Determinant
-Determinants Are Used to Show That x1y11x2y21x3y31=0,\left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| = 0 ,

question 9

Multiple Choice

Evaluate a Third-Order Determinant
-Determinants are used to show that three points lie on the same line (are collinear) . If
x1y11x2y21x3y31=0,\left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| = 0 ,
then the points (x1,y1) ,(x2,y2) \left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right) , and (x3,y3) \left( x _ { 3 } , y _ { 3 } \right) are collinear. If the determinant does not equal 0 , then the points are not collinear. Are the points (4,4) ,(0,3) ( 4 , - 4 ) , ( 0,3 ) , and (20,32) ( 20 , - 32 ) collinear?

Recognize the importance of shared assumptions and philosophies as the core of organizational culture.
Distinguish between different levels of culture in terms of their resistance to change.
Identify components, such as dominant values and philosophies, as representatives of organizational culture.
Understand issues of external adaptation and survival that organizations face.

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A three-carbon alcohol that acts as a backbone for triglycerides and phospholipids in lipid metabolism.

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The amount of energy or power used by physical or biological entities.

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A unit of measure for the rate of energy expenditure, indicating kilocalories expended per minute.

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