Given the parametric equations x = t1 - t2 y = 2 + 12 z = -1 - 211 + 3t2 These parametric equations is a plane that contain a point and parallel to two vectors. Find thes- parallel vectors.

Q: Find parametric equations for the line described below. The line through the point P(-3, -4, -2)…

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Q: Find parametric equation for the lines .. The line through (0, -7, 0) perpendicular to the plane x +…

A: A parametric equation of a line can be written if a point on the line is given and a vector parallel…

Q: A) Find the parametric equations for the line through the point P = (3.-5, 1) that is perpendicular…

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Q: Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the…

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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: 2. The line in R³ through the point Po(xo; Yo, 2o) and parallel to the vector v = parametric…

A: NOTE:- By bartleby rule, only question number (2) has been answered. The line in ℝ3 through the…

Q: Find parametric equations for the line described below. The line through the point P(1, 1, -2)…

A: we have to find

Q: Find the solution for the intersection of the following two planes (if it exists). Otherwise show…

A: As per the question we are given two plants as : x - y + 2z = -13 -2x + 2y - 2z = 26 And we have to…

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: Find parametric equations for the line through Po = (3, –1, 1) perpendicular to the plane 8x + 5y –…

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Q: a) Write parametric equations for the plane in Rº that passes through the point (2, 3, 1) and is…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Find the parametric equations for the line in which the planes -4x +y+3= = 5 and 2x+y+ = 3…

A: Given that:-4x+y+3z=5    .............(1)2x+y+z=3          ..............(2)

Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

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Q: Find parametric equations for the line that passes through the points P and Q. P(1, –2, 3), Q(5, 1,…

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

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Q: Find parametric equations and an equation in vector form for the lines in R2 with the following…

A: Given: y=3x-1 To Find: Parametric Equation and and equation in vector form for the lines in R2 with…

Q: Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 -…

A: topic - equation of a line

Q: Find parametric equations for the line through P(8, −7, 9) perpendicular to the vectors A = ⟨3, −1,…

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

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

A: Line passing through the point 6, -6, 8 and perpendicular to the plane 7x+2y-3z=-8. Since the line…

Q: 1. Write vector and parametric equations of the line. a) parallel to the line x+6y = 1 and through…

A: Parametric and vector equation of line

Q: Find the parametric equations and the symmetric equations of the line that passes through the points…

A: Given: A line is passing through the points P-1, 4, 3 and Q8, 10, 5.

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: Derive the parametric equations of the line of intersection of the two planes: II : 2x – y + 2z = -1…

A: We need to find the vector equation of the line of intersection. In order to get it, we’ll need to…

Q: Given the points P = (2,3,4), Q = (4,–1,5) and R = (-2,5,6) : a. Find a parametric or vector…

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Q: Find parametric equations for the line containing the points P(0,2,0) and Q(1,3,5).

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Q: Find parametric equations for the lines in The line through (0, -7, 0) perpendicular to the plane x…

A: we know that equation of line in parametric form which passes through pointx1,y1,z1 and…

Q: Write vector and parametric equations of the line. a) parallel to the line x+6y = 1 and through the…

A: We know that the line equation of the line that passes through point (ro→), and parallel to vector…

Q: b) Find parametric equations of the plane (P) containing the point P(1,-2, 0) and the vectors û and…

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Q: 2. Write the plane equation when it passes through a point Mo(11,2) and is: a) perpendicular to the…

A: We have to find the equation of the plane.

Q: Find the parametric equations for the line through the point (1, 7, 2) that is parallel to the plane…

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Q: If x = 1- 2t and y = 1+t denotes the parametric equation of a line in 2D , then (-2,1) is a) A point…

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Q: Find the parametric equations for the line through the point (5, 2,9) and perpendicular to the plan…

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Q: Find the parametric equations for the line of intersection of the planes x+y-z = -20 and 9.x + 3y +…

A: Given planes, x+y-z=-20 and 9x+3y+z=16. The objective is to find the parametric equations for the…

Q: The line in R³ through the point Po(xo, Yo, zo) and parallel to the vector v = parametric equations…

A: Given that the position vector of the point is P0 (x0, y0, z0) and parallel to the vector v = (v1,…

Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: 22. Find (a) parametric equations for the line of intersection, and (b) the cosine of the angle…

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Q: Find parametric equations for the line described below. The line through the point P(2, 3, 3)…

A: To find the parameter equation of the line passing through point P(2, 3, 3) parallel to the vector…

Q: A line passes through the point (- 8, – 9,9), and is parallel to the vector 9i + 6j + 7k. Find the…

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Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: Find the parametric equations for the line through the point P=(-5,4,-1) that is perpendicular to…

A: The direction vector for this line is v=2,-1,-5 and it must pass through the point -5,4,-1. Thus we…

Q: B Find the parametric equation of the plane passes through the point (-3,0,7) and perpendicular to…

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Q: Find the parametric equations of the line L which is parallel to the line L1 : 2x = 5y = 7z and…

A: The parametric equation of a line L that passes through a point a and parallel to a line r is given…

Q: 2. Find the parametric equations for the line through (3, –2,5) and (2,3,0). 3 Find the equation of…

A: To find the parametric equation for the line through 3, -2, 5 and 2, 3, 0

Q: The line through the origin parallel to the vector 2j+ k then the parametric equations equals: a) x…

A: Line through origin and parallel to the vector 2j +k is

Q: Provide parametric equations for the line passing through the coordinates (1, −3, 2) and…

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Q: 1. a. Given the points A(1, 2, 4), B(2, 0, 3), and C(4, 4, 4), i. determine the vector and…

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

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Q: Find the equation for the plane that passes through (2,4,-1) and contains the intersection of the…

A: The plane equation Ax+By+Cz+D=0 passing through three points x1,y1,z1, x2,y2,z2 and x3,y3,z3 is…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.