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

Q: Find an equation of the plane that is parallel to the plane x + 8y – 4z + 12 = 0 and contains the…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find an equation of the plane that is parallel to the plane x + 2y – 4z + 16 = 0 and contains the…

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Q: Find an equation of the plane. The plane that passes through (7, 0, −4) and contains the line x = 3…

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Q: Find an equation of the plane that is parallel to the plane x + 4y – 3z + 16 = 0 and contains the…

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Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…

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Q: Find an equation of the plane. the plane that passes through the point (1, 5, 1) and is…

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Q: Find an equation of the plane that is parallel to the plane x + 3y – 8z + 18 = 0 and contains the…

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Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Find an equation of the plane. The plane that passes through  (6, 0, −3)  and contains the line  x =…

A: The plane passes through a point P=(6,0,-3) and contains the line x=2-4t, y=1+5t, z=6+4t. Hence, we…

Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

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

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Q: Find an equation of the plane. The plane that passes through (6, 0, –1) and contains the line x = 2…

A: Given a point (6, 0, -1) and a line x = 2 - 4t, y = 1 + 5t, z = 8 + 4t

Q: Find an equation of the plane through the given point and parallel to the given plane. origin 2x -…

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Q: plane

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, to find the equation of the plane that passes through the point P14,-12,7 and contains the…

Q: Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to…

A: Given problem:- Determine the general equation of the plane π passing through the point P(1, -4,-5)…

Q: Find an equation for the plane through point (-2, –3, 3) parallel to the plane 0x – 9y – 1z = 44. An…

A: The given point is -2,-3,3 and the plane is 0x-9y-1z=44.

Q: Find an equation of the plane. The plane through the point (5, -3, -3) and parallel to the plane 4x…

A: We can use the concept of plane in order to solve the given problem.

Q: Find an equation of the plane. the plane through the point  (8, −3, −4)  and parallel to the plane…

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Q: Find an equation of the plane. The plane through the point (-3, 9, 10) and perpendicular to the line…

A: Find the equation of the plane

Q: Find the line of intersection of the planes 2x+y-z=3 and x+2y+z=2. Find the equation of the plane…

A: Solution of part (a) in step2 and step3 and part (b) in step4.

Q: An equation in general form for the plane passing through the point (-5, 0, 2) that is perpendicular…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: 25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y +…

A: Equation of a plane P that passes through the line of intersection of two planes P1 and P2 is given…

Q: Find an equation of the plane. The plane through the points  (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Plane equations

Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, note that any plane through the point P(14,-12,7) is of the form:…

Q: Determine the general equation of plane I passing through the point (-4, 3,-1) and parallel to the…

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Q: Find the intersection of the two planes with equations 3(x – 1) + 2y + (z + 1) = 0 and (x – 1) + 8y…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: General equation of a plane passing through a point P(p,q,r) is given by,…

Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Find an equation

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

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: Find an equation of the plane. The plane through the point (4, 0, 1) and perpendicular to the line…

A: Given that, Let, the required equation be, lx-a+my-b+nz-c....(1) The required plane passing through…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,…

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Q: Find an equation of the plane. The plane through the origin and parallel to the plane 4x - y + 3z =…

A: Compare the given equation of plane 4x-y+3z=3 with the standard equation of plane ax+by+cz+d=0 to…

Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Find a general equation of the plane through the point (2, 9, 6) and parallel to the plane a + 5y +…

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Q: Find an equation of the plane. The plane through the point  (5, −5, −2)  and parallel to the plane…

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Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

A: Given, Q=(-1,3,-1) x-4z=2 (equation of plane) x-4z-2=0

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find an equation of the plane. The plane through the point (-3, 7, 10) and perpendicular to the line…

A: Given:- The plane through the point (-3, 7, 10) and perpendicular to the line x = 5 + t, y = 2t, z =…

Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.