Find parametric equations and an equation in vector form for the lines in R2 with the following equations: y = 3x - 1

Q: Find the vector parametric equations for the line. in the direction of the vector – i+ 5j-3 k and…

A: equation of line in vector parametric form

Q: Find the vector form of the equation of the line inR3 that passes through P = ( -1, 0, 3) and is…

A: Equation of a line passes through  x1, y1, z1 having direction ratios a, b, c is, x-x1a=y-y1b=z-z1c

Q: Give a vector parametric equation for the line through the point (3, 1) that is perpendicular to the…

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Q: Write the vector equation for the given parametric equations: x=3+5t y=9+7t

A: Consider the parametric equation  x=3+5t  y=9+7t

Q: Find parametric equations for the lines in The line through the point P(3, -4, -1) parallel to the…

A: Given P3,-4,-1r=ro+tvro=3,-4,-1,ro=3i∧-4j∧-k∧v=i∧+j∧+k∧

Q: Complete the parametric equations of the line through the point (-6,0,-8) and perpendicular to the…

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Q: Given the points A(2,6,0) and B(3,5,6) determine the equation of a line vector in parametrix form

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Q: Give the equation of the line in vector form, parametric form and symmetric form. The line through…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given that : P = ( 1, 0 ) and d = -13 .

Q: Find parametric equations for the lines in The line through the origin parallel to the vector 2j + k

A: Given  The vector equation is  0i +2j+k  The line passing through origin , origin is  ( 0 ,0 ,0)…

Q: Find two different parametric equations for rectangular equation. y=-2x+4.

A: Two different parametric equations for the given rectangular equation y=-2x+4

Q: Complete the parametric equations of the line through the points (4,-8,1) and (-7,2,-2) x(t) = 4 –…

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Q: Express the equations of the lines r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and…

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Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: Find the equation of the plane through the point with position vector 5i-2j+3k perpendicular to the…

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Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: Find the parametric equations of the line through the point P(1, 2, 4) and parallel to the vector .

A: use the parametric form  of line .

Q: Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1,…

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Q: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

Q: Find two different sets of parametric equations for the rectangular equation y = 4x - 3.

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Q: Find the point P of intersection between the line x(t) = (-3,-2, 1) + t (1, 1, -3) and the plane 4z…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

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Q: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

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Q: a) Find the scalar parametric equation and vector equation (r = c + ta) of the straight line z+5 x –…

A: We have to find

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 3

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  . the given direction…

Q: Find the vector parametric equations for the line. in the direction of the vector 4 i – 3j- 3k and…

A: Equation of the line passing through a given point a,b,c and in a given direction l i+m j+n k is…

Q: Find the parametric equation from the given rectangular equation a.    y = 3x-3   b.   y= (x-3)2 /2

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Q: Find parametric equations for the lines in The line through (2, 3, 0) perpendicular to the vectors u…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: Find two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: Give a vector parametric equation for the line through the point (-2, –2) that is perpendicular to…

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Q: Write the parametric equations x = 4t – t³, y=2 – 3t in the given Cartesian form.

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Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation…

Q: Rewrite the vector equation r(t) = (2+t)i + (1+3t)j + (-1+5t)k as the corresponding parametric…

A: We have to find the equation

Q: Find parametric equations for the line whose vector equation is given. (а) («, у) %3D (3, —3) + t(1,…

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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Q: Find a set of parametric equations for the rectangular equation that s y = 2x – 3, t = 0 at the…

A: let x = t + a put all the given points to find out the value if a x = 4 and t = 0 4 = 0 + a a = 4 so…

Q: omplete the parametric equations of the line through the point (-3,2,4) and parallel to the vector -…

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Q: Please help with the following math question: Give a vector parametric equation for the line…

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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.