Find the distance from the point S(5, -9,6) to the plane 2x+ 10y + 11z = -10 4. O A. 225 52 B. 5 4 C. 15 52 O D. 75

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: The distance from a point S(xo,yo, Zo) to a plane M: ax + by + cz + d = 0 is given by |n · PS| d In|…

A: From a point S(x0,y0,z0) to the plane M = ax+by+cz+d=0 Let S1=x1,y1z1 be any point in the given…

Q: Evaluate | x? zdS, where S is the part of the plane z = 2 + 4x + y above the rectangle [0, 4] × [0,…

A: To evaluate: ∫∫Sx2z dS where S is the part of the plane z=2+4x+yabove the rectangle region…

Q: Which of the following is the equation of a plane parallel to the cz-coordinate plane and passing…

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Q: 16.) Which of the following lines is parallel to the plane? 2x- y – 4z = 4 (a) x=2+1, y =-2-2t,…

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Q: Find a plane containing the point (6, -4,-3) and the line (t) = +t 270

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Q: 23. The distance of the origin from the plane 2x – 3y + 6z = 14 is A 2 В 14 C с -2 D -14

A: on solving that we get

Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

A: (a) To show that the distance between two parallel planes Ax+By+Cz=D1 and Ax+By+Cz=D2 is…

Q: Find equations for the planes The plane through P0(0, 2, -1) normal to n = 3i - 2j - k

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Q: 4. Find the angle made between the two planes: r+ y - z = 5 and 2r + y +3z = -1.

A: Given that: Equation of first plane: x+y-z=5   ........(1)Equation of 2nd plane: 2x+y+3z=-1…

Q: O Find the distonce from the point pC1,\, 1) to the plane 2K-3y+72=1

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Q: O Find an equation for the plane throught (l,-l,3) parallel to the plane 3x+y+Z=7

A: 1) To find the equation of the plane passing from (1,-1,3) and parallel to the plane  3x+y+z=7

Q: M (1; -2; 4) parallel to the OXZ plane

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Q: Q7) Find the angle between the planes 2x + y- 3z = 2 and -x + 2y - z= 1.

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Q: Which of the following is the equation of a plane parallel to the yz-coordinate plane and passing…

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Q: ind a plane containing the point Gl,2,-3) and the line of intersection of the pladnes -X+3y -Z E -7…

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Q: Which of the following points is on the xy and yz planes, but is not on the xz plane? a) (2, 0, 0)…

A: We can represent 3D coordinate system.

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: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

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Q: o Find an equahion for the plane throught (l,-l,3) parallel fo the plane 3x ty+Z =7

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Q: Q/ Find the angle between the Planes 2 X -6y-z= 9 x + y +52=16 and 3D

A: Note:- Angle between two plane is given by...

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 the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: Find the distance from the point to the plane. (5,9,1), 4y + 8z =0 The distance is. (Round to two…

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Q: Find the distance from the point to the plane. (9,8,8), 4y + 7z = 0 The distance is. (Round to two…

A: Find the distance between the plane and the point  4y+7z=0 and (9,8,8)

Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y-z = 5

A: Given : 2x+2y+2z=3 and 2x-2y-z=5   To find: Angle between planes   we know that for plane Ax+By+Cz=d…

Q: Find the trace of the plane in the given coordinate plane. Зх — 9у + 82 %3D7, yz

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Q: 7. Find the dis to the plane x +2y+ 6z = 10 %3D 8. Find the angles between the planes a+y= 1,…

A: According to guidelines we should have been able to solve only one question at a time #8

Q: e. The plane through Po(2, 4, 5) perpendicular to the line x = 5+ t, y = 1 + 31, z = 4t

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Q9) Find the angle between the line z +1 and the plane Zx + y + z – 2 = 0.

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Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y- z = 5

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Q: Determine the Point OF 3x +y+22 = 45 and the Line witth plaremetre eg dartons 1 = 1+t, y= 3 +2 € ,…

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Q: (2t+l, st-5, lot ) f 4z: Given two lines ( 34, 2++3, zt+1) located in Sice the plane ? plane, find

A: The required equation for the plane is calculating by the below method.

Q: O Find the equation of the plane that palses through the points A - (2,4,-3), B = (3,-1,5) and 2 :…

A: In the given question we have to find the equation of the plane passes through the points A ,B and…

Q: Qz: Given two lines (2t+1,5t-s,lot) f ong (34, 2t+3,2+1) 1ocated in Sinde the plane ? plane, find

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Q: // 2° zdS, where S is the part of the plane z = 4+ 2æ + y above the rectangle [0, 5] × [0, 3]…

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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: ind the distance from the point to the plane ( 2,–3,4) x + 2 y – 2 z = 13

A: To find : Distance from the point (2,-3,4) to the plane x+2y-2z=13   formula for distance from point…

Q: The angle between the straight line х—1 y+3 z-5 and the -1 plane 4x - 2y + 4z = 9 is a) 60 b) 90 c)…

A: From the equation of the line x-12 = y+3-1 = z-52 , we find the direction vector as  (l,m,n) = (2 ,…

Q: xy dr + x?y° dy, C is the triangle with vertices (0,0), (1,0), and (1, 2).

A: By using green theorem, we calculate the given integral.

Q: Find the measure of the angle between the planes 3x-4y+z=8 & 5x + y-2z = 6

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Q: Find the distance of point K(1,0,1) to the plane generated by the points P(2,3,1), Q(3,-1,4) and…

A: All options are wrong i am giving Right answer with complete formula and procedure for easy…

Q: Which of the following planes is parallel to the plane За — 2у + z — 3? - 3x 2y + 9 - 6х — 4у + 22…

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Q: The distance from a point S(xo, Yo, Zo) to a plane M: ax + by + cz + d = 0 is given by |n PS| d =…

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Q: Consider the planes P and Q given as 2x-3y + z = 3 and 4x- 6y + 2z = 5: Are P and Q parallel? Find…

A: Consider the planes P and Q given as 2x-3y + z = 3 and 4x- 6y + 2z = 5: Are P and Qparallel? Find…

Q: Find the distance between the parallel planes P and P P: 2z -y+ 3z -6 =0 P: 4z - 2y + 6z - 2 =0

A: Distance between the parallel planes ax+by+cz+d1=0 and ax+by+cz+d2=0 is…

Q: Let h VI and y: 8 For what value(s) of h, is y in the plane generated by vị and v2?

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Q: Q2) The seraight s line (1,0, 1) +e(2,1,1) intersect The plane X+2y-3#=0 at the point (O,O. D)

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Statements and Logic

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