Consider the following planes. -3x + y + z = 3 15x - 5y + 3z = 9 (a) Find the angle between the two planes. (Round your answer to two decimal places.) (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.)

Q: In the given equation as  follws , find a set of parametric equations forthe rectangular equation…

A: Given :                 y = 2x -5 , t=0 at point (3,1)

Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two…

A: Solution is given below:

Q: oblem 20. Does the line with parametric equation x = 21 + 1, y = 3t- 2, z = 2t – 2, 1 e R intersect…

A:

Q: b) Given two planes 71 : 2x – 4y + z = 5 and T2 : 7x + y – 2z = 14. i. Find the acute angle between…

A: We will find the angle and the equation of line as following.

Q: Consider the following planes. 3x + 4y - z = 28 x - 8y + 2z = 0 (a) Find the angle between the two…

A: We need to find the angle between the given two planes and parametric equation of line of…

Q: Consider the following planes. 3x + 6y - z = 84 x - 12y + 2z = 0 (a) Find the angle between the two…

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Q: Consider the following planes. -бх + у + z %3 б 12x – 2y + 6z = 36 (a) Find the angle between the…

A: Given planes are  -6x+y+z=6 12x-2y+6z=36 (a) We find the angle between the two given planes.

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

A: Let's solve.

Q: Consider the following planes. -2x + y + z = 2 10x – 5y + 2z = 4 (a) Find the angle between the two…

A:

Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: 2. Find the point(s) of intersection of the following two parametric curves, by first eliminating…

A: From x=t+5 we get t=x-5 Then we plug this in the y=t2 So, the equation is: y=(x-5)2   We can plug…

Q: Find the parametric equations of the line of intersection of the planes, and find the angle between…

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Q: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

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Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two…

A: Solution is done in step 2

Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

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Q: Consider the following planes. 5x + 6y – z = 66 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: Consider the following planes. 3x + 4y − z = 56 x − 8y + 2z = 0 (a) Find the angle between the two…

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Q: Sketch and describe the orientation of the curve given by the parametric equations. x = V7, y = 2t –…

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Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

A:

Q: Consider the following planes. 3x + 6y - z = 84 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: Find the angle between the two planes −2x + y + z = 2,  6x − 3y + 2z = 4 and find a set of…

A: The given planes are −2x + y + z = 2  and  6x − 3y + 2z = 4 . Obtain the angle between them as…

Q: Consider the following planes. -5x + y + z = 5 15x - 3y + 5z = 25 (a) Find the angle between the two…

A: Let's find.

Q: Consider the following planes. 3x + 4y - z = 28 x - 8y + 2z =0 (a) Find the angle between the two…

A: In this question we have to find the angle between two planes and set of parametric equations.

Q: Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (a) Find the angle between the two…

A: given planes are, -4x+y+z=4 12x-3y+4z=16

Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

A:

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

A: Given: The line is passing through 2,2,12. Also, it is parallel to the line: x=5-9ty=2z=4+t The…

Q: Consider the following planes. -5x + y + z = 5 20x - 4y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=520x-4y+5z=25a To find the angle between the two planes.b To…

Q: Complete the parametric equations for the line where the planes - 7x + y + 3x = 3 and 4x7y + z = 23…

A: Given two planes -7x+y+3z=3 and 4x-7y+z=23

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: Given the planes 3.x – 6y – 2z = 15 and 2x + y – 2z = 5 anser the following. (b) Find parametric…

A: I have solved using an intersection point and direction ratios

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: 9) Find a parameterization of the line formed by the intersection of the following planes: P,: 2x –…

A: Cross product of normals of planes is normal to the required line of intersection

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

A:

Q: Consider the following planes. -4x + y + z = 4 20x - 5y + 4z = 16 (a) Find the angle between the two…

A:

Q: b) Find the area of the triangle with vertices P, Q, R. c)Write down parametric equations for the…

A:

Q: Consider the Equation:  x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0 1. Show that the equation represents…

A: x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0

Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two…

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Q: ler the following planes. -6x + y + z = 6 18x - 3y + 6z = 36 Find the angle between the two planes.…

A:

Q: Consider the following planes. Sx+ 6y -2= 66 x- 12y + 22 0 (a) Find the angle between the two…

A:

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

A:

Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1: 2x –…

A: 2)as per our guideline we have to write one question at a time kindly repost remaining questions

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two…

A:

Q: Consider the following planes. 5x + 6y – z = 132 X - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: Find two different sets of parametric equations for the rectangular equation  y = 4x + 1, t = −1 at…

A: Given equation is y=4x+1, t=-1 and the point is (-2,-7).

Q: Consider the following planes. 5x + 6y - z = 66 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: What is the rectangular form of the parametric equations? I (t) = t+ 3, y (t) = 2t² – 4, where t is…

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Q: What is the Cartesian form of the parametric equations æ(t) = 4cost – 1 and y(t) = 5sint + 2?…

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