Collinear Points Using Determinants Practice Test

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Menu Collinear Points Using Determinants Practice Test

About Collinear Points Using Determinants:

In some cases, we may be asked to determine if three points are collinear using determinants. In the last lesson, we looked at how we could find the area of a triangle using determinants. Here, we will rely on the same formula and look for a specific result. Basically, if this formula evaluates to zero, this tells us the three points are collinear or lie on the same line.

Test Objectives

Demonstrate the ability to find the determinant of a matrix
Demonstrate the ability to determine if three points are collinear

Collinear Points Using Determinants Practice Test:

#1:

Instructions: determine if collinear.

$$a)\hspace{.2em}(2,7), (1,2), (0,-3)$$

$$b)\hspace{.2em}(5,-1), (9,0), (0,-4)$$

Watch the Step by Step Video Lesson | View the Written Solution

#2:

Instructions: determine if collinear.

$$a)\hspace{.2em}(-3,-5), (6,2), (7,1)$$

$$b)\hspace{.2em}\left(\frac{7}{2},0\right), (2,3), (5,-3)$$

Watch the Step by Step Video Lesson | View the Written Solution

#3:

Instructions: determine if collinear.

$$a)\hspace{.2em}(1,8), (2,-1), (3,-10)$$

$$b)\hspace{.2em}(4,-1), (3,-7), (10,5)$$

Watch the Step by Step Video Lesson | View the Written Solution

#4:

Instructions: determine if collinear.

$$a)\hspace{.2em}(8,-13), (3,-2), (0,-1)$$

$$b)\hspace{.2em}(0,-8), (9,0), (-4,13)$$

Watch the Step by Step Video Lesson | View the Written Solution

#5:

Instructions: determine if collinear.

$$a)\hspace{.2em}(1,-1), (2,-5), (3,-9)$$

$$b)\hspace{.2em}(0,5), (1,-7), (2,-19)$$

Watch the Step by Step Video Lesson | View the Written Solution

Written Solutions:

#1:

Solutions:

$$a)\hspace{.2em}Collinear$$

$$b)\hspace{.2em}Not \hspace{.2em}Collinear$$