Eindequatisf ihe line passer thronghthe Paint (-3,2,-)-and parallelte the lineof intersaction of the planer(x+24+228)and (xAy-2=2).

Q: Find the equation for the plane through the points Po(1,-5, - 3), Qo(-1,1,-2), and Ro(-4,4,2). Using…

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Q: Find the equation for the plane through the points Po(-2, - 4,2), Qo(5,5,4), and Ro(5,2,3). Using a…

A: Basic algebraic equations are to be solved

Q: Calculate the distance between the point Q(3, 1, 7) and the plane 2x - 6y – z = 3. Don't use a…

A: We need to calculate the distance between the point Q3,1,7 and the plane 2x-6y-z=3 without using the…

Q: 1. Find the purametric euuatlous of the line that contains the point C,-3,5) and is Perpendicular to…

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Q: The planes with the equations x + 2z = 12 and y – 3z = 6 intersect in a line. Find the equation for…

A: Given: Planes:x+2z=12y−3z=6

Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+…

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Q: The planes with the equations x + 3z = 12 and y - 5z = 10 intersect in a line. Find the equation for…

A: The plane equations x+3z=12  and  y-5z=10

Q: equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4 coefficient of x is…

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Q: Explain why it is impossible to find four points on the same plane equidistant from each other.

A: Let us imagine that we have 3 points in a plane that are equidistant from each other. These points…

Q: Equation of the plane passing through the point (3, -2, 5) and parallel to yz-plane is Do not leave…

A: The plane passing through the point (3,-2,5) and parallel to yz-plane.

Q: Find the equation for the plane through the points Po(- 4, -2, – 5), Qo (0,1,2), and Ro(4,3, – 1).…

A: The given points are :    P0 (-4,-2,-5) , Q0 (0,1,2) , and R0 (4,3,-1)      The vector equation of…

Q: Find the equation for the plane through the points Po(3,4,2), Q,(-1,0, – 1), and R,(-1,-3,0). Using…

A: we have to find the equation of a plane passing through the points P0(3,4,2),Q0(-1,0,-1) and…

Q: Find the equation for the plane through the points Po(1, – 5, – 3), Qo(-3, – 5, – 1), and Ro(-…

A: -5x+4y-10z=5

Q: Find an equation of the plane through the point (3, -5, 1) and parallel to the plane 4x − 5z = 12

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Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

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Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: perpendicukar to the plane 3x- 4y+ 2z = 7

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Q: ] The plane contain the points P(1,-1,-4) and Q(2, 1,-3). Moreover, it contains the line I 2=y+3=…

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Q: [V] Find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the plane. How…

A: Here we have to find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the…

Q: Find the distance between the point (0, 2, 1) and the plane 2x − 6y + 3z = 6

A: Distance between the point x1,y1,z1 and the plane ax+vby+cz+d=0is given by-d=ax1+by1+cz1+da2+b2+c2

Q: Find the equation for the plane through the points Po(5, - 4, - 4), Qo(2,0. – 2), and Ro(4,1, – 2).…

A: Introduction: A plane is a three dimensional geometrical structure. When there is a projection of a…

Q: QI/ Determine whether the two planes are parallel or intersecting. Find their line of intersection…

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Q: Equation of the plane passing through the point (4, –2, –1) and parallel to yz-plane is

A: To find the equation of the plane passing through the point 4, -2, -1 and parallel to yz-plane.

Q: Find the equetion of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…

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Q: Find the equation for the plane through the points Po(-1,5,2), Qo(1,3, - 1), and Ro(4,- 4,4). Using…

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Q: Find the plane determined by the intersecting lines. z=1- 3t z = 2-2s L1 x= - 1+2t y = 2+2t L2…

A: A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Q: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given the point (1,-3,1) and (3,-12,6) and the plane x-y+z=6

Q: Find the point of intersection of the line through (1, -5, 1) and (5, -12, 6), and the plane given…

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Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

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Q: Find a plane containing the point (-4,-7,3) and the line of intersection of the planes - 2x + 7y +…

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Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

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Q: Find the equation for the plane through the points Po(2, – 4,4), Qo(0, – 2, – 3), and Ro(- 4,5,4).…

A: Given: P0(2, -4, 4), Q0(0, -2, -3) and R0(-4, 5, 4).

Q: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…

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Q: X ▪ Find equation of plane which is contains line L: 3y-2 2-7 = -3 -1 and parallel to intersection…

A: We will find a point vector on the plane a→ and normal vector to the plane n→ then equation of plane…

Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 10

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Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: (1 point) Find the point at which the line (-2, 1, –5) + t(-1,–1, –2) intersects the plane 4x – 2y +…

A: To findcthe point at which the line (-2,1,-5)+t(-1,-1,2) intersects the plane 4x-2y+2z=-68

Q: 6. Determine the point of intersection of the line l: = [-6,9,–1] + t[-2,3,1], t € R. and the plane,…

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Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: A cell phone tower is located at (5,-2) on a coordinate plane with units in kilometers. What is the…

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Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

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

Q: Determine the point of intersection between the line and the plane. x = -8 + 8t, y = -8 - 5t, z = -4…

A: Brief answer is given below.

Q: The planes with the equations x + 3z = 12 and y - 5z = 10 intersect in a line. Find the equation for…

A: The plane equation is x+3z=12 and y-5z=10

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: Find the equation for the plane through the points Po(0, – 3, – 5), Qo (3, – 3, – 1), and Ro(5,2,0).…

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Q: Find the equation for the plane through the points Po(4, - 3, - 5), Qo(-4, - 3,4), and Ro(- 1,1,5).…

A: Mi

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y- z = -2? (x, y, z)…

A: Useparametric equation of plane to solve

Q: Po (2,1,-1) and perpendicular to the line of Find a plane that passes through intersection of the…

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