Find an equation for the plane through point (–8, –9, 3) parallel to the plane 6z + 4y – 2z = -87. An equation for the plane is

Q: Write the equation for the plane. The plane passing through the points (1,2,6), (- 1,4,0), and…

A: Finding the equation of plane

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Find an equation for the plane that contains the line v = (-1, 1, 2) + t(9, 5, 4) and is…

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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 an equation of the plane.  The plane through the point (2, 0, 5) and perpendicular to the line…

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Q: (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular…

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Q: find an equation for the plane through pointsP, Q, and R. P(1, -1, 2), Q(2, 1, 3), R(-1, 2, -1)

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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 the equation for the plane through Po(7.- 3. - 1) perpendicular to the following line. x=7+t,…

A: Ans     equation  of  line          x=7+t,   y=-3-3t,  z=-2t  or   x-71=y+3-3=z+0-2

Q: Use the plane shown below to answer the questions. Let A = 3, B = 4, and C = 24. (a) Find an…

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Q: Find the equation of the plane through the point P= (2,4, 5) and parallel to the plane - (5x + 3y +…

A: Parallel plane problem....

Q: Find the equation for the plane through Po(3,1,9) perpendicular to the following line. x = 3 + t, y…

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Q: Find an equation of the plane. The plane through the point  (6, 0, 1)  and perpendicular to the line…

A: Given, The plane through the point (6, 0, 1) and perpendicular to the line x = 7t, y = 8 − t, z = 5…

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 (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 the Cartesian equation of the plane containing the points A(1,0,3), B(1,1,-2) and C(-1,2,0).…

A: Solution

Q: Find an equation of the plane that crosses the x-axis at 3, the y-axis at 2, and the z-axis at 5.

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Q: Find the Cartesian equation of the plane containing the points A(4,0,4), B(1,5.5) and C(-1,-1.2).…

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Q: Find the Cartesian equation of the plane containing the points A(- 1,0, 1), B(2, 1, 3), C(4, – 2,…

A: topic - equation of plane through three points

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

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Q: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

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. The plane through the point (-3, 9, 10) and perpendicular to the line…

A: Find the equation of the plane

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 the x-, Y-, and z-intercepts of the plane. (If an answer does not exist, enter DNE.) 2x + 3y +…

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Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x…

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the…

Q: Find equations for the planes The plane through (1, -1, 3) parallel to the plane 3x + y + z = 7

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Q: Find an equation for the plane that passes through the following points. (2, –1, 4), (0, 0, 6), and…

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

Q: Find an equation of the plane through the origin that is parallel to the plane 4x-3y+5z+13=0

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Q: Write the equation for the plane. The plane through the point P(2, - 2, - 3) and parallel to the…

A: By the using properties we find the required equation of plane.

Q: Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

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

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Q: Write the equation for the plane through the point P(- 4,4,2) and perpendicular to the line x =4+7t,…

A: Explanation of the answer is as follows

Q: Write the equation for the plane through the points P(-1, 1,-12), Q(2, 8, -49) and R(1, -6, 45). 4x…

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Q: Find the equation of the plane that contains the point A(1, 2,-4) and is perpendicular to the…

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Q: Find the Cartesian equation of the plane containing the points A(1,0,3), B(1,1,-2) and C(-1,2,0).

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Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

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

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Q: Write the equation for the plane. The plane through the point P(4, 8, 9) and perpendicular to the…

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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 the equation of the plane through the origin that is parallel to the plane 4.r – 2y+ 7z +12 = 0…

A: Consider the general equation of a plane, 4x-2y+7z+12=0 the normal vector of this plane will be…

Q: Find the equation of the plane through Po (2,-1,-1) and P1(1,2,3) and perpendicular to the plane…

A: Given: P0(2,-1,-1) and P1(1,2,3)  2x+3y-5z-6=0

Q: 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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.