Find the distance between the plane P:8x+3y+9%= 0 and the point (1,-5,20)

Q: The two planes r+y +z= 1 and r – 2y + 3z = 1 intersect in a line l.

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Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

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Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

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Q: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

A: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

Q: Find an equation for the set of points equidistant from the a. xy-plane and yz-plane. b. x-axis and…

A: a) Let (x,y,z) be such point that xy-plane and yz-plane are equidistant from it.Distance of (x,y,z)…

Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

Q: Find the point P where the line x = 1 +  t,  y  =  2t,  z = - 3t  intersects the plane x + y - z =…

A: Given line: x=1+t,  y=2t,  z=- 3t

Q: Find the shortest distance, d, from the point (4, 0, –4) to the plane x + y + z = 4.

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: Q: To find an angle between planes 2x + 4y - 4z- 6 = 0 and 4x + 3 y+9=0.

A: We have to find the angle between the given two planes.

Q: Find the acute angle of intersection between the two planes 2x−4y + 4z = 6 and 6x + 2y−3z = 4

A: We know that, acute angle between the lines a1x+b1y+c1z=d1 and a2x+b2x+c2z=d2 is given as…

Q: Find the point of intersection of the line l: x = 2+ 3t, y = 1 – 6t, z = 4 – 2t with the plane - 2x…

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Q: Find the acute angle (in degrees) between the planes – 4x – 5y + 5z = 0 and 2x – 3y + 3z = - 7.

A: As per the company's guidelines we are supposed to answer only one question.Kindly repost the other…

Q: Find the perpendicular distance between the skew lines х — 1 l1 : 5 y – 2 у — z +1 x + 2 y+1 z – 3…

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Q: Find the distance between the planes 3x-y+6z=7 and -6x+2y-12z=1. Round off answer to four decimal…

A: Given: To explain the correct option of the given statement as follows, The given planes are 3x-y+6z…

Q: Find the distance between the following skew lines -y+48, ,z=0

A: The given equation of skew lines- x2=y+48,z=0x-12=y2=z+3 Above equations can also be written as-…

Q: Find an equation of the plane through the point (2,0, 1) and perpendicular to the line x = 3t, y = 2…

A: To find the equation of a plane passing through (2,0,1) and perpendicular to the line x=3t , y=2-t ,…

Q: Find the angle between the planes x+y=D1 and 2x+y-2z%3D2?

A: Given planes : P1: x+y-1=0, P2: 2x+y-2z-2=0 ⇒n1⇀=i+j, n2⇀=2i+j-2k

Q: Find the acute angles between the intersecting lines x = 2 + t, y = 4t + 2, z = 1 + t and x = 3t -…

A: Given: The equation of lines x = 2 + t,  y = 4t + 2,    z = 1 + t      and x = 3t - 2,   y = -2,   z…

Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

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Q: Draw the plane given by the equation. x + y + z = 4

A: x+ y+ z= 4

Q: Find the point on the plane 2x + y + 4z = 5 that is closest to the point P(4, 3, 5). (x, y, z) =…

A: We are given a plane 2x + y +4z = 5, and we are asked to find the co-ordinates of the point on the…

Q: The distance from the point P(1,2,3) to the plane x +y + z = 0 is

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Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the…

Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

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Q: Find the distance (d) from the paint (9, 4, 6) to the plane z-y = 5. STAAVE

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Q: Find the distance between the given skew lines: x = 4+9t, y = 5+ 3t, z = 7- 6t x= 8 – t, y = 9, z =…

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Q: Find the point closest to the origin on the line of intersection of the planes y + 2z = 12 and x + y…

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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 the distance from the x-axis to the plane z = 3.

A: Given equation of plane - z = 3z-3 = 0       ................(1)General equation of plane is given…

Q: Find the point in which the line through P(3, 2, 1) normal to the plane 2x - y + 2z =-2 meets the…

A: Direction ratios of normal to plane 2x - y + 2z =-2  are <2,-1,2>, since line is normal to…

Q: the

A: We will find the distance.

Q: Find the intersection of the line and plane: x + 3y – 4z = 18, r(t) = (-3, 2, –2) + t(-3, 2, – 1)…

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Q: Find the shortest distance from the origin to the line of intersection of the planes 2x + y − z = 1…

A: Given: The planes: 2x+y-z=1 and x-y+z=2.

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

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Q: he cylinder x² + y² = 2y and the plane

A: Shift cylinder at origine as centre

Q: Find the distance from the line x = 2 + t, y = -2+ 2t, z = 4 – t and the plane 2x – 3y – 4z = 12…

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Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: we  have to find an  equation for the set of points equidistant from the y-axis and the plane z =…

Q: Find the distance between the skew lines: I = 9+9t, y = 2+5t, z = 3-7t x=6-t, y = 9, z = 6+6t NOTE:…

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Q: Find the angle between the planes (x+y+za1)and. (x-24+32-1). And find the Symmetricequations for the…

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Q: Find the distance from the point of intersection of liies ( X=t, y=3-3t, =-224) and (x=1+t y=4rt,…

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Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: Find angle between two planes given by 2x + y – z = 29 and 3x + y + 2z = 6. %3|

A: we have to find the angle between the two planes given by 2x+y-z=29 and 3x+y+2z=6. the equations of…

Q: Find the distance between the skew lines: x = 5+ 6t, y = 2+ 3t, z = 8 – 3t z = 1+ 2t x = 9 – t, y =…

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Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Find the point on the plane x – 3 y – 2 z = 14 that is closest to the point (0, 3, 3) .

A: We have the plane x-3y-2z=14 The normal vector to a plane ax+by+cz=d is a,b,c Hence, the normal…

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: Find the angle between the line 2 x+v3 : = z + 1 and the plane vZx + y + z – 2 = 0.

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