For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the line segments A B ¯ and B C ¯ equals the length of A C ¯ . ( 2 , 2 ) , ( 4 , 3 ) , and ( 8 , 5 )
For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the line segments A B ¯ and B C ¯ equals the length of A C ¯ . ( 2 , 2 ) , ( 4 , 3 ) , and ( 8 , 5 )
Solution Summary: The author explains that three points A, B and C are collinear when the sum of lengths of the line segment stackrel
For Exercises 75-78, determine if points A, B, and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A, B, and C are collinear. One method is to determine if the sum of the lengths of the line segments
A
B
¯
and
B
C
¯
equals the length of
A
C
¯
.
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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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