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dsp73
3 years ago
11

How are determinants used to find areas of polygons?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.

For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
  (1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
  = (1/2)*|1 -11 +4| = 3

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Difference between mafic intermediate and felsic magmas
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<span>Opposite to the this, felsic silicate minerals, magmas and rocks in their composition have less from these heavy elements. They are composed from silicon, oxygen, aluminium and potassium, are light in color and have lower specific gravities.</span>

8 0
3 years ago
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2 years ago
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x = 11/2 = 5.5

Step-by-step explanation:

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