Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the intersection of the planes 4x-y+z-2=0 and .2x+y-2z-3%3D0 اخترأحد الخيارات a. x+2y-8z-16=0 b. -3x-11y+5z-6=0 c. None of the above d. 4x-13y+21z-14=D0 e. -9x+2y-3z+7=0

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: Find an equation for the plane which contains the point P(2,1,- 3) and intersection line of the…

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Q: Find an equation of the plane through the three points given: = (5,0,0) , Q = (9, 1, 3) , R= (8, 4,…

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Q: Find an equation of the plane through (-1, 2, -5) and perpendicular to the planes 2x- y+z = 1 and…

A: We are  authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the equation of the plane through the points (2,-1,3), (2,0,–-1),and (0,7,2).

A: Given that three points and we find that equation of plane . Here i attached solution of this…

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=D0, x+2y-3z+5=D0.

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Q: Determine the point on the plane 4x- 2y + : = 1 that is closest to the point (-2,-1,5)

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Q: Find an equation of the plane that passes through the points M(1,2,3), N(-3,-2,5), and 0(2,-3,4).

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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 the equation of the plane that contains the point P(3,5,-1) and the linex = 4 - ty = -1 + 2t,z…

A: The plane contains the point P(3,5,-1) and the line x=4-t, y=-1+2t, z=-3t

Q: 8. Find the equation of the plane that contains the points P,(3,1,–2), P2(0, –2, 1), and P3(-2, –5,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 1, 3), R = (-3,…

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Q: Find an equation of the plane through the three points given: Р - (5,0, 0),Q — (9, 1, 3), R — (8,4,…

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Q: Find a plane containing the point (-4,-4,6) and the line of intersection of the planes -x + 3y – 2z…

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Q: Given the points A=(3,-5,-2), B=(7,-1,1) and C=(-1,-1,4), the equation of the plane containing the…

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Q: Find an equation of the plane that contains all the points that are equidistant from the given…

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Q: 4) Find the equation of the line of the intersection of the planes -2x+3y+7z+2=0, x+2y-3z+5=0.

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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: Find an equation of the plane containing (1, 5, -1) that is perpendicular to the line of…

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Q: Determine the equation of the plane that passes through (2,-4,1) and is perpendicular to the line of…

A: A plane is passing through 2, -4,1 and perpendicular to the line of intersection of the plane  3x -…

Q: Find the equation of the plane that contains the line x-y+z=2 , x+y+2z=D4 and the line 1= = 2-7

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Q: Find the equation of the plane that passes through the points (-2,0,-1) and through the line of…

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Q: Find the equation of the plane passing through the points a. (-4,-1,-1); (-2,0,1); (-1,-2,-3) b.…

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Q: ) Find the equation of line of intersection of the following planes 3x – 4y + 4z – 29 = 0 , 6x – 8y…

A: Explanation of the solution is given below...

Q: Find the equation of the plane passing through the point A=(2,3,-1),B=(4,5,2),C=(3,6,5).

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Q: Find the equation of the plane that passes through the points P1 = (2, 3, 1), P2 = (5, 4, 3), P3 =…

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: Find an equation of the plane passing through P = (1, 2, 3), Q = (0, 0, 3), and R = (−2, 5, 4).

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Q: Find the point at which the line (-4, 1,1) + t(2, -5, 4) intersects the plane -5x+ 3y – 3z = -54.

A: the given line is  xyz=-411+t2-54 xyz=-411+2t-5t4t xyz=-4+2t1-5t1+4t

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

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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: Find the point at which the line (-4, –5, 2) + t(-4, 3, –5) intersects the plane 2x + 5y + 4z = -6

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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: Find an equation of the plane through the three points given: P= (0,0, 1) , Q =(-1,4,2), R=(-2,–2,…

A: We have to find the equation of a plane which passes through the following points -  P = (0,0,1) Q =…

Q: 4) Find the equation of the line of the intersection of the planes -2xr+3y+7z+2=0, x+2y-3z+5=0.

A: We have two equations in three variables. To find the line of intersection of these planes, we fix…

Q: Find an equation of the plane. The plane that passes through the point (-3, 3, 3) and contains the…

A: Given,            The plane passes the point -3, 3, 3 and also contains the line of intersection of…

Q: Find the equation of the plane that passes through the points P1 = (1, 1, 2), P2 = (2, 3, 3), P3 =…

A: The given points are:

Q: Find the linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

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Q: Find the equation of a plane passing through A(2,1,3), B(3, −1,5), and C(1,2, −3).

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Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: what is the equation of the plane perpendicular to the intersection line of the x-2y+2z= 3  and…

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Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: Find the intersection of the plane 3x – y + 2z – 3= 0 and the line

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Q: Find the equation of the plane passing through the points O = (0, 0,0), A = (1, -2, –5) and B =…

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Q: Which of the following are symmetric equations for the line of intersection of the planes 2x+y+−6z=2…

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Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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Q: Find the equation of the plane through (2,4,-1) and contains the intersection line of the planes…

A: Let's find.

Q: Find the equation for the plane passing through the points P₁ = (-2,5, -2), P₂ = (-2, 0, 0), and P3…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.