Find an equation of the plane parallel to the liner= <2-t, t, 2t> and containing the points (2, 2,-1) and (1, 0, 1). %3D

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 for the plane consisting of all points that are equidistant from the points  (−5,…

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Q: Find an equation of the plane. The plane that passes through the point (-3, 1, 2) and contains the…

A: This question is related to planes. We will solve this question by using property of plane

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 through the point (2, 0, 8) and perpendicular to the line…

A: The given line has direction ratio= (7, -1, 3) Given that the line is perpendicular to the plane. So…

Q: Find the equation of the plane through the point P= (3,3,5) and parallel to the plane y – 5x + 5z =…

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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 that passes through the point (1, -1, 1) and contains the…

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Q: Find a plane through the points P(4,-1,2), Q(6,2,1) and perpendicular to the plane -x+y+z=3

A: Given: Points, P(4, -1, 2) Q(6, 2, 1)

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: Find an equation of the plane. The plane that passes through the point (−1, 3, 2) and contains the…

A: given planes are x+y-z = 5, 4x-y+5z = 1 The equation of plane that contains intersection of planes…

Q: find an equation of the plane. The plane that passes through the point  (1, −1, 1)  and contains…

A: The parametric equations of the line x=3y=4z may be re-written as  so that its vector equation is…

Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

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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 for the plane containing the three points (0, 1, -1), (1,0,1), and (2, 1, 0). Where…

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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. The plane through the point (5, –1, –6) and parallel to the plane 5x…

A: Given point is (5,-1,-6) and plane is 5x-y-z=3 find the equation of the plane which is parallel to…

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

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Q: Find an equation of a plane passing through the points (1, –3, –59), (–3, 2, 54) and perpendicular…

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Q: plane

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Q: GIVE AN EQUATION OF THE PLANE DESCRIBED BELOW (A. ) containing (-5, 2, 4) and perpendicular to the…

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Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (8, 4, 5), and (−2, −2, −4)

A: Equation of a plane passing through (x1,y1,z1) , (x2,y2,z2) , (x3,y3,z3) is given by:

Q: Find an equation of the plane. The plane through the origin and the points (2, -3, 5) and (5, 3, 1)

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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 origin and the points  (3, −3, 7) and (8, 4,…

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Q: Determine the equation of the plane that contains the points P_0 = (1, 0, 0), P_1 = (0, 1, 0) and…

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Q: Find an equation of the plane that passes through the points P, Q, and R. Р(5, —3, 4), Q(3, -5, —6),…

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Q: Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular to the line x…

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

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

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Q: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…

A: Given that, Point A (1,3,-2) Two planes  P1: x-y+z-1=0P2: x+y-x-1=0   We have to find the equation…

Q: Find an equation of the plane. The plane through the point  (3, −4, −7)  and parallel to the plane…

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Q: Find an equation of the plane. The plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)

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Q: Find an equation of the plane. The plane through the points  (2, −1, 3), (6, 4, 6), and (−3, −3,…

A: Let the given points are - A=(2,-1,3) B=(6,4,6) And C= (-3,-3,-3)

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 an equation of the plane through the points P(0, 1, 1), Q(1, 0, 1), and R(1, 1, 0).

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

A: We know that two parallel planes have same direction ratios(i.e. the coefficients of x,y and z…

Q: Find an equation of the plane. The plane through the origin and the points (2, -1, 5) and (9, 3, 2)

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

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Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non…

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 through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

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Q: Find an equation of the plane. The plane through the points (0, 2, 2), (2, 0, 2), and (2, 2, 0)

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

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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.

Q: 4] Find the equation of the plane that contains the point (а, 0, 0), (0, b, 0) and (0, 0, c).

A: First find two vector and then take cross product which is normal vector  Now use equation of plane

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

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