SOLVING THE SYSTEMS

Q: Uj = U2 = 3 U3 = 3 -2 re the vectors 1, U2 and 03 linearly independent? choose the vectors are…

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Q: Explain how the direction vectors of two lines in ℝ3 can be used to determine whether the two lines…

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Q: If one of the sides of a square is 3x-4y - 12 = 0 and the center is (0, 0), then find the equations…

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Q: Consider the triangle with vertices A(2,3,5), B(-1, 4,4) and C(-2, -1,6). Use vector multiplication…

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: On the coordinate axes above, plot and label the following points. Draw any guiding lines (or arcs)…

A: The graphical representation of co-ordinate system : Cartesian/Rectangular coordinate system :…

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: (.)  Given system of linear equation is,               3x1+3x2+6x3=12-9x1-9x2-18x3=-36…

Q: Illustrate how vector equation can be turned to cartesian equation?

A: To Determine: Illustrate how vector equation can be turned to cartesian equation? Given: we have a…

Q: A plane flies with velocity v = (220, 90, 10) km/h. A wind is blowing out of the northeast with…

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Q: 1. Plot the data below in the grid of squares provided. You will have two data sets, one for men and…

A: Answer : • The graph of choice should be a scattered diagram.• This graph will help you to show a…

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1<x2 then fx1>fx2 claim- is it decreasing or increasing

Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

Q: 3 aj = 4 a2 = 9 az = -3 b = 2 Determine if vector b is a linear combination of a1, a2, and a3. Show…

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Q: B.  Refer to the following propositions: p: “ Mathematics in the Modern World is a new subject in…

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Q: What is Ax dot y? A = -2 3 5 x = -1 y = -3 1 -2 2…

A: We are given A,X and y then we have to find Ax.y=?

Q: ketch the surface

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Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: First of we find the augmented matrix corresponding to the non homogeneous system. Then apply row…

Q: Find an equation of the plane passing through the points (1, -2,3), (4,5,-6), and (7,8, -3).

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Q: Do the vectors A = 2ax +ay-4az, B =3ax %3D -2ay + az and C = ax -3ay +5az form a %3D right triangle?…

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Q: What are the coordinates?

A: To answer the above question, suppose that the horizontal bold line represents the x-axis and the…

Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v

Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4xg =0 4x, + 6x2 -…

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Q: 3x X+2 8.

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Q: 3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the…

A: To solve question 3 I will take the help of eigenvalue and eigenvector of a matrix because question…