4 - Investigate Interaction of Two PlanesPlot the following and their normal vectors.2x-2y + 2z = 153x - 3y + 3z = -13Describe the interaction of these planes using appropriate terms.How many solutions does this system have? Describe the solution.State the normal of both planes.Include the plot below and feel free to provide a link.

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Answered: Plot the following and their normal…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.1: Systems Of Equations

Problem 61E

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5 - Investigate Interaction of Two Planes Plot the following and their normal vectors. x-y +z = -13 -3x + 3y - 3z = 39 Describe the interaction of these planes using appropriate terms. How many solutions does this system have? Describe the solution. State the normal of both planes. Include the plot below and feel free to provide a link.
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Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x₁ + 3x2 + 6x3 = 12 - 9x1 - 9x2 - 18x3 = - 36 - 3x2-3x3 = 12 Describe the solution set, x = B. X=X₂ x3 below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) OA. X= O c. x= D. X=X₂ + X3 3x₁ + 3x2 + 6x3 = 0 - 9x1 - 9x2 - 18x3 = 0 - 3x2-3x3 = 0 +x3 x2 of the first system of equations in parametric vector form. Select the correct choice
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. Зx, + 3x, + 6x3 3 12 - 6х, - 6х2 - 12х3- 24 3x, + 3x, + 6x3 = 0 - 6x, - 6x2 - 12x3 = 0 - 3x, + 3x3 = 0 - 3x, + 3x3 = 12 X1 Describe the solution set, x= X2 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within X3 your choice. (Type an integer or fraction for each matrix element.) O A. X= O B. X= X2 O C. x= + Xa O D. X=X2 + X3

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Plot the following and their normal vectors. 2x-2y + 2z = 15 3x - 3y + 3z = -13 Describe the interaction of these planes using appropriate terms. How many solutions does this system have? Describe the solution. State the normal of both planes.