utkarshakash said:Homework Statement
The coplanar points A,B,C,D are (2-x, 2,2); (2,2-y,2); (2,2,2-z): (1,1,1)
Homework Equations
The Attempt at a Solution
a(2-x, 2,2) + b(2,2-y,2) + c(2,2,2-z) = (1,1,1)
Equating respective components
ax=by=cz=k
The answer is 1/x + 1/y + 1/z = 1 but in my case it does not satisfy this.
True, but there is another constraint on a, b, c. If the three vectors on the left are not collinear then with arbitrary a, b and c you could generate any vector in the space, not just those in the desired plane.utkarshakash said:a(2-x, 2,2) + b(2,2-y,2) + c(2,2,2-z) = (1,1,1)
The purpose of finding the relation between x, y and z is to understand how these variables are connected and how changes in one variable can affect the others. This can help in making predictions and understanding patterns in data.
To determine the relation between x, y and z, you can plot the data on a graph and look for patterns or use statistical methods such as correlation analysis or regression analysis. These methods can help in identifying the strength and direction of the relationship between the variables.
Yes, there can be multiple relations between x, y and z. The relationship between variables can be linear, non-linear, or even have no apparent relationship. It is important to thoroughly analyze the data and use appropriate methods to determine the best fitting relation.
The relation between x, y and z can help in understanding the underlying mechanisms and patterns in scientific phenomena. It can also aid in making predictions and identifying potential causality between variables. This information can be valuable in various fields of research, such as medicine, economics, and environmental studies.
It is not always necessary to find the exact relation between x, y and z. In some cases, a general understanding of the relationship between variables may be sufficient. However, in other cases, finding the exact relation can provide more accurate predictions and a deeper understanding of the phenomenon being studied.