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Concept explainers
To Explain: whether the points
![Check Mark](/static/check-mark.png)
Answer to Problem 35WE
The points are not collinear.
Explanation of Solution
Given information:
The points of a plane are given as:
Formula used:
To check the collinear points,
The three or more points are collinear when they are in straight line.
We find here with the help of parallelogram formula:
Such as
Consider the points,
Recall that to check the collinear points,
We find here with the help of parallelogram formula:
Such as
Therefore, the points are given by,
Make a table of the coordinates in increasing order
If the ratio of vertical change divide by horizontal change is constant, the points are collinear. Otherwise they are not.
Check the points are collinear or not.
Here, first we check with the help of formula:
As the values of:
Now apply these values in the formula of parallelogram:
We find here with the help of parallelogram formula:
Such as
Now find the line
Now find the line
The value of
Now find the line
The value of
Here,
Because all the points are not lie in same line, so it is not collinear.
Thus, the points are not collinear.
Chapter 8 Solutions
Algebra: Structure And Method, Book 1
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