Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (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: Complete the parametric equations for the line where the planes - 5x – 2y + 2z = 2 and - 13x + 10y +…

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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: 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 + y + z = 3 15x - 5y + 3z = 9 (a) Find the angle between the two…

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

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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: Find the angle between the two planes 3x + 2y − z = 7,  x − 4y + 2z = 0 and find a set of parametric…

A: Known fact: The angle between two planes a1x+b1y+c1z+d1=0  and a2x+b2y+c2z+d2=0 is given by…

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

A: Line of intersection

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…

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

A: Here we have to find the parametric equations of the curve C of intersection of the cylinder S:x2+y2…

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

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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: Determine the parametric equations of the curve of intersection of the paraboloid x? – y? + z² = 0…

A: Detailed explanation mentioned below

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…

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Q: Find the point at which the line given by the parametric equations below intersects the plane.…

A: Given a system of linear equations are, 2X + 4Y -3Z =-48.................(1) X = 10 +…

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

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Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

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

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Q: Given the curve of intersection of the x² + 4y² -z = 0 which is a paraboloid and the plane 2x - z =…

A: Solution:-

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: At which point will the plane 2x + 4y – 3z = -48 and the line given by the parametric equations x =…

A:

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 a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

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Q: Find the parametric equation of the line of intersection of two planes correctly: P1:x+3y+5z=0 and…

A:

Q: Find the angle between the two planes 3x − y + z = 7 ,  4x + 6y + 3z = 2 and find a set of…

A: Given, two planes 3x − y + z = 7 ,  4x + 6y + 3z = 2  we have to find the angle between the two…

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

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

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

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

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

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

A:

Q: Find the parametric equation of the line of intersection of the planes 2x+y-z=1 and x-2y+3z-9

A: First find cross product take normal vector useformula

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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