Determinants Are Used to Show That Three Points Lie on the Same

question 138

Multiple Choice

Determinants are used to show that three points lie on the same line (are collinear) . If
-Determinants are used to show that three points lie on the same line (are collinear) . If $$\left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| = 0 ,$$
then the points $\left( \mathrm { x } _ { 1 } , \mathrm { y } _ { 1 } \right) , \left( \mathrm { x } _ { 2 } , \mathrm { y } _ { 2 } \right)$ , and $\left( \mathrm { x } _ { 3 } , \mathrm { y } _ { 3 } \right)$ are collinear. If the determinant does not equal 0 , then the points are not collinear Are the points $( 10 - 9 ) , ( 0,5 )$ and $( 30 - 36 )$ collinear?

• A)No
• B)Yes

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Definitions:

Creatine Phosphate

An energy storage molecule in muscle cells that donates a phosphate group to ADP to produce ATP during the first few seconds of muscle activity.

Sacroiliac Joint

The joint between the sacrum and the iliac bones of the pelvis, which supports the weight of the upper body.

Pelvic Region

The lower part of the torso, bounded by the pelvic bones and containing the reproductive organs.

Posterior

Referring to the back or rear part of the body or structure.