Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) = <2 + 3t, 3 + t, −1 −2t>

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: Find an equation of the plane determined by the points P(1,2,3), Q(2,0, 1), and R(0, –-1,1).

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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: (b). Determine the equation of the plane that contains the points P(1, –2,0), Q(3, 1, 4) and R(0, 1,…

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Q: Find the equation of the plane for a plane through the point (2, −8, −3) and parallel to the plane…

A: Equation of plane through point (x1, y1 , z1) and parallel to plane ax +by+cz+d = 0 is given as…

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: The equation of the plane passing through the point A(6, 6, 6) and orthogonal to the line a = 11 +…

A: The objective is to find the equation of the plane passing through the point A6,6,6 and orthogonal…

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 form ar+by+cz = d for the plane that passes through the points A(3,2,0),…

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Q: find the equation of the plane through P(1, 3, 2) that is parallel to the plane 5x - 4y + 3z = 7

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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 containing the three points P(1,2,2), Q(2,-1,4), and R(3,5,-2).

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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 the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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

A: x - z = 2 ⇒ x = 2 + zy + 3z = 2 ⇒ y = 2 - 3zLet z = t then parametric equation for the line of…

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 that passes through  (6, 0, −2)  and contains the line  x…

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

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: Write the equation of the plane that is parallel to the xy-plane and passing through the point…

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Q: X-2 4 y+3 -1 z + 2 3 {3х + 2y + z + 2 %3D 0, х -у+ 2z-1 %3D 0}

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

A: Please see the explanation below

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

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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. The plane that passes through (7, 0, –4) and contains the line x = 4…

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Q: Find an equation of the plane. the plane that contains the line x = 2 + t, y = 3 - t, z = 5 - 3t and…

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Q: The equation of the plane passing through the point A(6, 6, 6) and orthogonal to the line a 11+7t, y…

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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 containing the point P(1, -2, -2) perpendicular to the line through…

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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 the equation for the plane through Po(-2, -7,- 4) perpendicular to the following line. x= -2-t,…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin l1…

A: Let's find.

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 the standard equation of the plane that contains three points A(1,0,-1) B(2,1,1) and C(1,2,-3).

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

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

A: Given: Line is parallel to x+3y+3z = 5 Equation of the plane parallel to the plane x+3y+3z = 5 is…

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

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Q: Find the equation of the plane Π that contains the lines L1: x=−1−2s, y=1−t, z=−1+4s, s∈R…

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Q: Find the equation of the plane contains the line X+1/2 = Y/3 = Z-1/4 and the line of intersection of…

A: We have given the line of intersection of planes; x + 2y - 2z = 6 , 5x - 2y - z = 0 and line; X+1/2…

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 that passes through the point (2, 4, 5) and contains the…

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Q: of the

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

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Q: Find the general equation of the plane containing the points P1(0,0,0) P2(1,2,-1), and P3(-1,1,0)

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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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Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

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