Find an equation of the plane. The plane that passes through the point (−2, 1, 3) and contains the line of intersection of the planes x + y − z = 2 and 3x − y + 4z = 3

Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

Q: Write the equation for the plane. The plane through the point P(-4, -4, 3) and parallel to the…

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Q: Find an equation for the plane through A(3, 3, 3), B(5,5,5) and C(0,5, 9).

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Q: Write the equation of a plane that intersects at the coordinate axes OX and OY segments 2 and -17…

A: Given that: Intercepts of  a plane with coordinate axes: OX=2 and OY=-17and Plane passes through…

Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

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

A: Given points P0(4,-3,3) , θ0(0,5,4), R0(1,4,3)The objective is to find the equation for the plane…

Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

Q: Determine whether the planes are parallel or identical. -5x + 3y –8z = 5 15x - 9y + 24z = 14 O The…

A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2…

Q: (b) Find an equation of the plane that passes through the points A(3, - 2, 0), B(1, 4, 2) and С(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 the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find the point, P, at which the line intersects the plane. x= 5- 3t, y = 4+ 6t, z = 10 - 3t; - 8x+…

A: Explained below

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: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

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Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: Find an equation of the plane through the point (-2, -1, 3) and parallel to the plane 3x+3y+5z=0. Do…

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Q: Write the equation for the plane. The plane through the points P(5, -7, -18) , Q(-3, 8, 1) and…

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Q: Determine whether the planes are parallel or identical -7x + 4y - 9z = 5 14x - 8y + 18z = 9 The…

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Q: Find the point, P, at which the line intersects the plane. x= 5+ 4t, y = -6 – 9t, z = - 9+ 8t; – 4x…

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

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

Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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Q: 3. Write an equation of the plane that is determined by the lines given by == and ==국 -2 z-2 -3 4 -1

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Q: Find the linear equation of the plane through the point (2,6,9) and parallel to the plane…

A: Equation of plane parallel to  x+5y+4z+4=0 is given by,x+5y+4z+4+λ=0

Q: Find the equation for the plane through the points Po(4.4,5), Qo(-5,-3,- 4), and Ro(-2,- 4,2). The…

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Q: The equation of the plane containing the points (3,1,3), (4,0,-2), and (11,-5, 12).

A: Here we find the equation of plane using three points.

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

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Q: 5) The equation for the plane through A(2, 0,0), B(0,1,0), C(0,0,5) is

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Q: Find the equations of the planes P1, P2 and P3 that are parallel to the coordinate planes and pass…

A: See step 2.

Q: B) Find an equation for the plane through A(3,3, 3), B(5,5,5) and C(0,5,9).

A: Given the points are A(3,3,3) , B(5, 5, 5) and C(0, 5, 9) Equation of the plane passing through…

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

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

A: Recall: Equation of plane passing through the intersection of planes            A1x+B1y+C1z=d1and…

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

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 equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

A: It is given that the plane passing through three points P2,4,5, Q1,5,7 and R-1,6,8. Equation of the…

Q: Find the equation of the plane that contains the point (−2, 3, 1) and the line +t.

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Q: Find the equation of the plane through the three points given:  P = (0,0,4) Q = (2,-3,8), R =…

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

A: The plane passing through the points P0(4,3,-4), Q0(0,-5,3) and R0(0,4,-2)

Q: a) Find an equation of the line in space through the points S(-1,-4,8) and T(2,-1,2). b) Find the…

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Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: Find a plane containing the point (-6,-4,-8) and the line of intersection of the planes - 2x – 2y –…

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Q: Write the equation for the plane through the points P(-1,6, - 61), Q(2, - 8,66), and R(1,- 7,53). O…

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Q: Find the equation of a plane that contains the lines and - 2+5. O A 2x-y-22 = 42 O B. 2x y 2z -10 O…

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Q: The intersection of the two planes given by the r. = 5 and () 4 r. 4 = 8 2

A: We have ,  equation of two planes are ,  r.221=5 .............(1)and r.442=8 .........(2)

Q: Find an equation of the plane through the three points given: Р - (0,5, 0),Q — (2, 1, —4), R —…

A: The given points are P=(0,5,0), Q=(2,1,-4), R=(-1,1,-3) We have to find an equation of the plane…

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

A: Let's find.

Q: Write the equation for the plane. The plane through the point P(-4, -4, 3) and parallel to the…

A: Explanation of the answer is as follows

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

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