Use algebra to indicate the type of intersection each system of equations has. If it is a point of intersection, identify the coordinates of the point. If it is intersection in a line, provide the vector equation of the line and if there is no intersection of all three, then you should explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
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Use algebra to indicate the type of intersection each system of equations has. If it is a point of intersection, identify the coordinates of the point. If it is intersection in a line, provide the vector equation of the line and if there is no intersection of all three, then you should explain why.

a)

3x-3y- 2z = 14

5x + y - 6x = 10

x - 2y + 4z = 9

b)

x + 2y + 3z =-4

x - y -3z = 8

5 + 5y + 9z = -16

 

c)

3x - y + z = -2

4x + 2y + 5z =1

 

d)

5x + 10y - z = 4

25x + 50y - 5z = 20

-x - 2y + 0.2z = 0

 

It's a vectors question. Also, please verify that the answers are correct. I've had numerous issues where Bartlby answers are incorrect. This is a grade 12 level calculus and vectors question. 

 
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