Find symmetric equations for the line of intersection of the planes. z %3D 4x — у — 13, Z %3D 6х + 4у — 14 5(x + 3) = -2(y – 1) = 22z O 5(x – 3) = -2(y + 1) = 22z O x = 3, -2(y + 1) = 22z х — 3 — у+ 1 5 -2 22 y – 1 -2 X + 3 5 22

Q: Find a line equation through the point P(3,-1,4) and parallel to the line of intersection of the…

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Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: 2. the lines y and y = 4- and whose lies in the plane z + y Solution: v-4-2 dr V2 - sphp(li + a)…

A: Integration

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: 7. Find the point or line of intersection for each system of planes a) n, = 3x – 3y – 2z – 14 = 0 П2…

A: Cramer's rule

Q: Find the value of the variables 20. Kite 21. Parallelogram 3x-8 22. Isosceles Trapezoid 5x+4 22+5…

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Q: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

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Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=0, x+2y-3z+5=0.

A: The given equation of planes are  2x + 3y + 7z + 2 = 0   ...... (1) x + 2y - 3z + 5 = 0   ...... (2)

Q: Find whether the planes below intersect, and if so, where they intersect using Gaussian elimination.…

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Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

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Q: Q2/ Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X=5+t,…

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Q: The Cartesian equations of the line perpendicular to the plane 2x -3y + 4z + 8=0 and passing:…

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Q: Example 8: Find the point where the line x = 1 + t, y = 2t, and z= -3t intersects the plane…

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Q: 7. Determine the intersection, if any, of the planes with equations x + y- z + 12 =0 and 2x + 4y -…

A: both questions involves solving the system of equation. we will solve the system by gauss…

Q: 5. (a) Find an equation for the line of intersection between the planes r+3y-z = 2 and 2x – y+2z =…

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Q: Find the equation of the set of points located three units away from the plane -2х + бу + 3z + 1…

A: Given equation of the plane, -2x+6y+3z+1=0

Q: Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the…

A: The objective is to determine the value of m for which the line will be tangent to the circumference…

Q: Q10) Find the equation of the plane passing through the point P(1,-1,2) and parallel to the line x-1…

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

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Q: Q4. Find an equation of the plane that passes through the origin and the point (1,1,1) and is…

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Q: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

Q: 18. In the standard (x,y) coordinate plane, the line represented by which of the following equations…

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2)…

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Q: (50p.) l- Find an equation of the plane through (1,3,–2) and the line of intersection of the two…

A: Given that, P1 : x-y+z=1 P2 : x+y-z=1 and Point A(1,3,-2)   We have to find Equation of Plane…

Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: Consider the two planes in R3 given by the equations: x+2y+3z-10=0, and-2x-4y-6z+1=0

A: The planes ax+by+cz+d=0 and ex+fy+gz+h=0 are parallel when the relation ae=bf=cg is satisfied. The…

Q: Given the point P(-1, 4, 5) and the line L: x = 1+ 2t; y=2+t; == 3t Find the equation of the plane…

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Q: Find an equation of the plane containing the point (3,0,-4) and perpendicular to the line r(t D)= O…

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Q: Q3/ Find the equation of the plane that contains the line 3-х 2+y = 3 – z, and the point P (1, 4,…

A: Equation of the plane

Q: Find symmetric equations for the line of intersection of the planes. z = 3x−y−7,     z = 5x + 3y−7

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Q: Given the point P (4, 5,-1) and the line L: x = 3+ 2t ; y=1+3t; =2+t Find the equation of the plane…

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Q: I- 3y – z= 5 Solve the system { 2x – 5y + 2z = 12 by reducing into upper triangular form and using…

A: Given system of equation is       x-3y-z=52x-5y+2z=123x-8y+z=17→               1       Here,…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: If Ax+By+5z=C is an equation for the plane containing the point (0,0,1) and the line X-1=と+2 3…

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 3. Find the equation of the plane perpendicular to the plane x + 2y + 3z = 11 and passing through…

A: Equation of plane passing through one point (a,b,c) and normal vector n = <A,B,C>…

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

A: We have to find angle between two planes

Q: 11. z = 1+ 2t 3x + 11y - Find an equation for the plane parallel to the line x = 1-2t, y = 2+3t and…

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Q: Find the point of intersection for the following three planes: 3x + 4y + z + 4 =0 x + 2y + 3z +2 = 0…

A: Given Planes:

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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

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Q: The distance between the parallel planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is D =…

A: topic = planes

Q: Given two planes: -3x + 2y – 4z – 3 = 0; x + 4y + 5z + 20 0. Find the symmetric equations of the…

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Q: A solution of the form (g(t), h(t), t) 18 <<8 represents a line in three dimensions only if g(t) and…

A: In three dimensional Euclidean geometry, a line can be represented in any of the three different…

Q: äi 8 Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of…

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

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Q: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: Q7) Find the equation of the set of points located three units away from the plane - 2х + бу + 3z…

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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.