Find parametric equations for the line. (Use the parameter t.) the line of intersection of the planes x + 2y + 3z = 2 and x - y + z = 2 (x(t), y(t), z(t)) = Find the symmetric equations. х — 2 y 3 Ox-2=% = Ох — 2 %3D 3 y = z, x = 2 х — 5 y - 2 Z - 3 2 2 O x + 2 = -y – 2 = z + 2 %3D

Q: Find parametric equations for the line through (-1,2) and (4, -8). Select all that apply. OA. x =…

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Q: [(x + y + 2) ds, (x+y+z) ds, S is the parallelogram with parametric equations x = u + v, y = u - v,…

A: see my solutions

Q: Complete the parametric equations for the line where the planes - 5x – 2y + 2z = 2 and - 13x + 10y +…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Į ¤(t)…

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Q: 8. The line given parametrically by r(t) = (1+2t, 2+5t, 1– 3t) for t E R passes through a plane at…

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Q: Complete the parametric equations for the line where the planes – 3x – 9y – 12z - 11x + 2y – 10z 33…

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Q: Q1. The parametric equations of the lines L1, and L2 are given as: L: x=-2+1, y=3+2t, z=-t+4 L₂:…

A: Let's find distance between two lines.

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∧

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Q: 0 M) Find the point at which the line with parametric equations X=2+31, y=-41, z z =5+1 intersect…

A: Given:         x=2+3t         y=-4t         z=5+t    plane  4x+5y-2z=18

Q: Q4 /A// Determine the equation of the plane that contains the points P1 =(2, 1, -1) ,Р2- (3, 1, 4),…

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Q: Q1: Find the angle between the planes 3x - 6y + 4z = 3 and 2x 2y + z = 4 then find the parametric…

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Q: h) Find a parametric representation of the Parabolic equation z = 9(x² + y²)

A: Parametric representation of the Parabolic equation z = 9(x² + y²) will be cartesian coordinates as…

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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: Complete the parametric equations for the line where the planes -+ 4y+ 13z = - 3x + 5y = 21 and 10…

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Q: Home work:- Q/ Find the angle between the planes (x+y+Z=1)and (x-2y232=1). And find the Symmetric…

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Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: x2 +…

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Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

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Q: 1

A: As a policy of bartleby, Iam allowed to solve only the first three. So you'll have to re-upload the…

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: Find the parametric equations for the line in which the planes x-2y+4z=2 and x+2y-2z=6 intersects

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Q: Find parametric equations for the line through P0 = (3, −1, 1) perpendicular to the plane 3x + 5y −…

A: A line L in sace with direction vector d=d1,d2,d3 that asses throughthe point P=(x0,y0,z0) can be…

Q: Complete the parametric equations for the line where the planes – 8z – 2y – 5z = 0 and - 4x + 2y –…

A: Given: The planes are -8x-2y-5z=0 and -4x+2y-9z=0 To find the parametric equation xt, yt, zt

Q: Line l is given by the parametric equations: x = 1-2t  y = -2+4t z = 4+5t Determine the equation…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t)…

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Q: Question If x(t) = –2t – 3 and y(t) = -8t + 3, eliminate the parameter to write the parametric…

A: Given that:                              x = -2t - 3 Or,                        t=x+3-2…

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Q: Find parametric equations, in terms of t, of the line passing through (2, 2, 12) and parallel to the…

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Q: 22 a) Drive the parametric equation of straight line. D) Check whether the following two lines are…

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Given: The equation of two planes are: V1 : x − y + z − 2 = 0, V2 : 2x + y + z − 4 = 0

Q: Find the parametric equations of the line segment through the origin and perpendicular to the plane…

A: Given: Given equation of the plane is x-2y+3z=5 We want to find the parametric equations of the line…

Q: Find parametric equations for the line segment joining the points (-6, 4) and (2, 3). x=-6 + 8t, y =…

A: Parametric equation of line segment.

Q: Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

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Q: Q1: Two lines in space {x 1- 2t,y 2 +3t,z =-1+t} and {x = 1+t,y% 3+ 2t,z = -1+3t} find the angle…

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Q: Eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint. 2 x2 + y2 = 36 x2…

A: We have to eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint.

Q: Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for…

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Q: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

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Q: 2. Find the parametric and symmetric equations for the following lines. (a) r=i- 2j- 3k+t(i+j+k).…

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Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

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Q: Find the parametric equation for the line where the planes 4x – 6y + 8z = - 36 and – 6y + z = – 15…

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Q: Find the parametric equations for the line of intersection of the planes x+y+z= 3 and 2:z-3y = 6.…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: %3D Sa(t) = 4t2…

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Q: Q5) Find the angle between the plane x+y-z=3 and the plane that perpendicular to the line has the…

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Q: Find the parametric equation for the line where the planes - 3y = 3 and -r - y+ 5z = - 9 intersect.…

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Q: Let L be a line which is parallel to the line L1 : 2x = 3y = 6z and intersects two lines L2 : x = z…

A: For the solution follow the next steps.

Q: Find a parametric representation of the solution set of the linear equation. i. x + y = 2 3 x-y - z…

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Q: Q: find the cartesian equation of the plane Containing the point p(2.1.1) and parallel to the plane…

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