The equation of line given by the intersection of two planes with equations x + 2y-3z 4 and 2x – y+ z = -2 is | اخترأحد الخيارات .A x = -t, y = 2 – 7t, z = -5t x = t, y = 2- 7t, z = -5t .B %3D .C x = -t, y = 2+ 7t, z = -5t %3D .D x = -t, y = 2 – 7t, z = 5t %3D | E. None of these answers

Q: The planes with the equations x + 2z = 12 and y – 3z = 6 intersect in a line. Find the equation for…

A: Given: Planes:x+2z=12y−3z=6

Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

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Q: Find an equation of the plane that passes through the point (3, 1, 4) and contains the line of…

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Q: Find symmetric equations for the line of intersection of the planes. 2 3x - y - 7, 2- Sx + 2y - 8 O…

A: Given:- Planes 1 z= 3x-y-z-7 Plane 2 z=5x+2y-8 To find:- Find symmetric equations for the line of…

Q: 6. Find the equation of the plane that passes through (3,1,2) and (-1,2,–1) and is parallel to the…

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Q: 1. a) m and passes through the point (-3, 10) b) passes through points A(12, -1) and B(0, 4) c)…

A: We know the slope intercept form of line is : y=mx+b , where m is slope and b is constant. (a) Given…

Q: Find a line passing through (−2, 5, −3) and perpendicular to the plane 2x − 3y + 4z + 7 = 0.

A: we have to find a line passing through (-2,5,-3) and perpendicular to the plane 2x-3y+4z+7=0   as we…

Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: Find the line of intersection of the given planes. 4x + y-z = 0 and 2x - y + 3z 4 %3D

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Q: 4) Find the equation of the line of the intersection of the planes -2x+3y+7z+2=0, x+2y-3z+5=0.

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Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

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Q: Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line of…

A: Given equation of planes arex+2y+z = 8x+y-z = 2Firstly, determine the intersection lines of two…

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: The plane that passes through  (9, 0, −3)  and contains the line  x = 6 − 3t, y = 2 + 5t, z = 4 +…

A: Given : A point (9,0,-3) where the plane passes through.             A system of equations for line…

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 point on the plane −2 x+y−z =−9 that is closest to the point (3,−2,2) .

A: We have to find a point on the plane closest to another point.

Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y+3…

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Q: Find an equation of the plane that passes through the point (3, 5, -1) and contains the line x = 4 -…

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Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

Q: Find symmetric equations for the line of intersection of the planes. z = 3x−y−7,     z = 5x + 3y−7

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Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: (a) Find an equation for the line of intersection between the planes z+3y-z = 2 and 2x –y+2z = 5.…

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Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

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Q: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…

A: Given that, Point A (1,3,-2) Two planes  P1: x-y+z-1=0P2: x+y-x-1=0   We have to find the equation…

Q: Find the line of intersection of the given planes. 4x + y – z = 0 and 2x - y + 3z = 4 y = 2 + t 2

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Q: Find a plane containing the point (-4,-7,3) and the line of intersection of the planes - 2x + 7y +…

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Q: 1.) Line D has the equation y = -2/5x + 3 and line G has the equation y = -2/5x + 1. Lines D and G…

A: To find the relation of the given pair of lines.  The relation between them can be found using their…

Q: 4) Find the equation of the line of the intersection of the planes -2xr+3y+7z+2=0, x+2y-3z+5=0.

A: We have two equations in three variables. To find the line of intersection of these planes, we fix…

Q: We have two planes in R3R3, defined by equations x−3y+z=−7x−3y+z=−7 and 2x+y+2z=02x+y+2z=0 . These…

A: Equation of two planes is…

Q: The equation of line given by the intersection of two planes with equations 3x + 2y – 11z = 30 and…

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Q: A line h passes through a point P(2,–4,3) and is parallel to the line of intersection between planes…

A: We will use cross product to find vector parallel to h and then check it will be parallel or…

Q: X ▪ Find equation of plane which is contains line L: 3y-2 2-7 = -3 -1 and parallel to intersection…

A: We will find a point vector on the plane a→ and normal vector to the plane n→ then equation of plane…

Q: Find the angle between two planes -3/2x- 6y+ z= 4 and 2x−y−1/2z= 7 , also find an equation for the…

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Q: Determine an equation for each of the lines described below: • Line of intersection of the planes 2x…

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Q: The line through (- 10,7,10) perpendicular to the plane 9x + 2y + 6z =5 Choose the correct answer…

A: Given query is to find the equation of the line.

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 equation of the plane through (1,0,-1).(-1,2, 1) and parallel to the line of intersection of…

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Q: Find a plane containing the point (1,-8,-3) and the line of intersection of the planes - 3x – 8y +…

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Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: The distance between the parallel planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is D =…

A: topic = planes

Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: The equation of line given by the intersection of two planes with equations 3x + 2y – 11z = 30 and…

A: For the above-given equations of plane: <3,2,-11> = 30 = a <13,-12, 52> = -100 = b   a ×…

Q: Determine an equation for each of the line described below: (A) Passing through the point (2, -3,…

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Q: Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane…

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Q: The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the…

A: the given line equation y=1/3x+1   .......(1) compare this line with standard form y = mx  +c m =…

Q: Find two different planes whose intersection is the line x=9+t, y= 7+4t, z= 4 – 4t. Write equations…

A: There can be infinite number of planes passing through the line. To get the exact answer we will use…

Q: The distance from the point S(-7, 8, -4) to the plane 10x+2y+11z=2. 20 3 8 15 8 225

A: The equation of the plane is  10x+2y+11z = 2 The point is S-7,8,-4 To evaluate : The distance from…

Q: Which of the following are symmetric equations for the line of intersection of the planes 2x+y+−6z=2…

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Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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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.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.