Find the distance from the point to the plane. (3, 0, 10), 2.x + 3y + z = 2

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Q2: Find the equation of the plane that pass through the point P(-1,4,2) and containing the line of…

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Q: Q5/ find the equalion of bhe plane that Condains the Line: x-!= +!2= and the Point A(5,1,) %3D 2.

A: See the attachment

Q: Find the equation of the plane that passes through the point (6, 0, −2) and contains a straight r:…

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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: Find the distance, d, between the point S(4,8,4) and the plane 8x + 7y + 3z = 40. The distance, d,…

A: Given:       Point =S4,8,4        Plane 8x+7y+3z=40                  8x+7y+3z-40=0 Distance between…

Q: Find the distance from the point to the given plane. (-7, 9, 2), x – 2y – 4z = 8 Need Help? Read It

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Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

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: O Find an equation for the plane Hhrought (1,-1, 3) parallel to the plane 3xay+Z=7

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find an equation of the plane that contains the point P(5,0,2) and the line x = 3t +1, y=-2t + 4, z…

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Q: Find the equation of the plane that contains the point P(3,5,-1) and the linex = 4 - ty = -1 + 2t,z…

A: The plane contains the point P(3,5,-1) and the line x=4-t, y=-1+2t, z=-3t

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A: Distance from the point P (x1,y1,z1) to the plane Ax+By+Cz=D is  d=|Ax1+By1+Cz1-D|/square root…

Q: Q3/ Find the equation of the plane that contains the line 3-x 2+y %3D 3 - z, and the point P (1, 4,…

A: Given line is  3-x4=2+y2=3-zand the point is (1,4,3) find the equation of the plane

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  (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 the equation of the plane through the point (2, –1, –5) and containing the line | x = 3 – 2t, y…

A: We have to find the equation of the plane, passing through the point (2,-1,-5) and containing the…

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: Q1 What is the distance between the point (2,8, 5) and the plane r- 2y-2z = 1 ? a) 5 b) 25 c) 9 d) {…

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Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

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Q: Find an equation of the plane that contains the point (2, 0, 3) and the line x =-1+t, y =t, z=-4+21…

A: It is given that the required plane contains the point 2,0,3 and the line x=-1+t,y=t,z=-4+2t. The…

Q: (b) Find the points where the line passing through (-2,0,1) and (-4,1,4) intersect the sphere x2 +…

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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: ough the point P(6, - 2, - 7) and parallel to the plane 4x + 7y+ Ty+2z = - 4 Ey + 4z = - 4 Ey - 7z =…

A: Plane : 4x+7y+2z = -9 Point : (6,-2,-7)

Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

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 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 distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

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Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: Find the equation of the plane which contains the line ( 2 + t , 3 − t , 4 + 2 t )and the point ( 0…

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Q: Find the distance from the point to the plane. (10,10,5), 9y + 2z = 0 The distance is 0

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Q: Find the distance, d, between the point S(5,6,5) and the plane 6x + 7y + 1z = 12. The distance, d,…

A: topic- distance between point and plane shortest distance of plane ax+by+cz+d from point…

Q: Find an equation for the plane that passes through the point (-1, 6, 0) perpendicular to the line x…

A: Direction ratios of line x =-1 + t, y = 6 - 2t, z = 3t are  <1,-2,3> .Sine line is…

Q: Find the equation of the plane whose has the line x=2-3t, y=3 + t, z = 5t and passes through the…

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: Find the equation of the plane through the point (1,4,7) and perpendicular to the line x = 2 + t, y…

A: If the plane is perpendicular to the line, then the line is also perpendicular to the plane.  So the…

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 that is passing through the point and is perpendicular to the line L.…

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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: Q4. Find the angle between the plane -2x + y- 2z 0 and the plane generated by the points P1(0, 0,…

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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: Find the distance, d, between the point S(9,3,5) and the plane 9x + 1y + 1z= 36. The distance, d,…

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

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