Describe the solutions of x1 + 2x2 – 3x3 = 5, 2x1 + x2 – 3x3 = 13, and –x1 + x2 = -8 %3D in parametric vector form, and provide a geometric comparison with the solution set in x1 + 2x2 – 3x3 = 0, 2x1 + x2 – 3x3 = 0, and –x1 + x2 = 0.

Q: Give the parametric vector form of the general solution of the following system of linear equations:…

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Q: Give the parametric vector form of the general solution of the following system of equations: -4…

A: The solution is given as

Q: Find a new representation of 2x² + 8xy - 1 = 0 by describing it in a system with axes rotated by…

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 5 + 3x3,…

A: Suppose the solution set of a certain system of linear equations can be described as x1=5+3x3,…

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: Reduce the equation 3x +6yz -y -z? -6x+6y-2z -2=0 to the standard form. |

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Q: Find an equation of the plane containing the following two lines. х-5 у-4 _2-5 -1 3 -2 х-1 y-3 z-2…

A: The general equation of a plane is ax+by+cz=d where a,b,c are direction ratios(DR) of the plane.

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: Write the equation of the plane 4x - 4y + 2z + 5 = 0 in the intercept fom.

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Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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