Given the parametric equations x = t1 - t2 y = 2 + t2 z = -1 - 211 + 3t2 These parametric equations is a plane that contain a point and parallel to two vectors. Find these parallel vectors.

Q: Describe all solutions of Ax = b, where 2-5 3 A -2 6 -5 70] and b = Describe the general solution in…

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Q: Question: 1. Find the vector equations, the parametric equations, symmetric equations of line 1.…

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Q: Find any line equation that does not intersect the plane 2x – 5y + 3z 4. -

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Q: Represent the following equation in R² by a vector-valued/parametric equations: 2x² + 2y² – 2x + 2y…

A: The given equation is: 2x2+2y2-2x+2y=7...(1)

Q: Find the parametric form of the equation of the line passing through the point Po(-2,-1,3) and…

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Q: how do you write in parametric form?

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Q: Describe all solutions of Ax = b, where -3 2-5 3 -26-5 -4 7 0 and b = 8 8-0-7 -9 Describe the…

A: Given that We have to find all solutions of  the system The augmented matrix of the  above system is…

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: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

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Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3,-1). (b) Find the parametric…

A: Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

Q: Describe all solutions of Ax = b, where [2-5 3] A= -2 6-5 and b = -4 7 0 2 19 Describe the general…

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Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 31 A= = [] = [] -2 6-5 and b 4 7 0,…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric equations…

A: The given points are x1,y1=-2,4;x2,y2=10,0 So the slope is given by: m=y2-y1x2-x1=0-410--2=-13

Q: Determine parametric equations of the line of intersection of the planes x+2y+3z=4 and -2x+z=0. Then…

A: Let us consider two planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0  Intersection of two planes is line…

Q: Solve the equation Ax = p, or show that the equation is inconsistent. Write your solution in…

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Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: Find the general form equation of the plane through the origin and perpendicular to the vector (4,…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.