Answer:
Explanation:
Given that:
The abundance of three algal species in Lake A is now represented by the vectors:
[97, 84, 43] and [100, 80, 50]
Now if we look at Lake A, the change occurring in the vector of algae species can be determined as:
a = [100 -97, 80 - 84. 50 - 43]
a = [3, -4, 7]
Thus, the magnitude of that change is:
[tex]|a| = \sqrt{(3)^2 +(-4)^2+(7)^2}[/tex]
[tex]|a| = \sqrt{9+16+49}[/tex]
[tex]|a| = \sqrt{74}[/tex]
[tex]|a| =8.6 \ mg/mL[/tex]
The abundance of three algal species in Lake B is now represented by the vectors:
[25, 59, 22] and [20, 63, 15]
At Lake B, the change occurring in the vector of algae species can be determined as:
b = [20 -23, 63 - 59. 15 - 22]
b = [-3, -4, -7]
Thus, the magnitude of that change is:
[tex]|b| = \sqrt{(-3)^2 +(4)^2+(-7)^2}[/tex]
[tex]|b| = \sqrt{9+16+49}[/tex]
[tex]|b| = \sqrt{74}[/tex]
[tex]|b| =8.6 \ mg/mL[/tex]
Hence, for both Lake A and B, the magnitude of change is the same.
