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4 years ago

Three points are collinear.

Mathematics

2 answers:

dangina [55]4 years ago

7 0

Answer:

Three points are collinear if they belong to the same line. Also if their Determinant equals zero.

Step-by-step explanation:

Suppose we have A (-6, 2) B(-3,-1) and D(-5, 1). Are they collinear?

Well, let's plug in the values in a Matrix and then calculate its Determinant this way:

Plug ig the values for x, y and complete it with 1 in the 3rd column.

$\left[\begin{array}{ccc}x&y&1\\&&1\\&&1\end{array}\right]$

Applying:

Det= $\left[\begin{array}{ccc}-6&2&1\\-3&-1&1\\-5&1&1\end{array}\right]$ =0

Doing the calculation, the Determinant equals zero, what gives us an Analytical Geometry proof of its collinearity.

il63 [147K]4 years ago

3 0

If they are in the same line yes. If they aren't then its considered non-collinear.

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Step-by-step explanation:

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Thus, $\angle COD =\frac{90+x}{2}$

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