The equation of a line may be viewed as the intersection of two planes derived from its equations

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: Find the symmetrical equation of the line perpendicular to the plane passing through the points…

A: Given problem:- Find the symmetrical equation of the line perpendicular to the plane passing through…

Q: Find an equation of the line passing through the point (−1, 6) and parallel to the line joining the…

A: To Find an equation of the line passing through the point (−1, 6) and parallel to the line joining…

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and…

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: Write down the equation of any plane through the origin.

A: Write down the equation of any plane through the origin.

Q: Find a set of parametric equations of the line with the given characteristics.

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Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

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Q: Find an equation of the plane that contains the points (1, 2, 3), (3, 3, 2), (2,3, 5).

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Q: Find the equation of a plane through the points (– 8, 2, – 1), ( – 4, – 1, 8), ( – 8, 6, – 6). -

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Q: Determine the general equation of the plane containing the point (1, 2, –1) and the line

A: The given equation of the line- 1-x3=y+23=z-3 It can also be written as follows- x-1-3=y+23=z-31…

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Find the equation of the plane passing through (0,0,-4)and perpendicular to the line joining the…

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Q: Find the equation of a plane through the points (- 3, 2, 6), (– 8, 5, - 8), (4, – 4, – 1).

A: Given: Three points -3,2,6, -8,5,-8, 4,-4,-1

Q: Find the equation of a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…

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Q: Find an equation of the plane that passes through the point (8, -6, 4) and contains the line given…

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Q: Plot the planes given by the equations y z = 0 and x = 0 and their line of intersection using a box…

A: The given planes are y-z=0 and x=0. Hence the line of intersections of these two planes can be…

Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: Find the equation of the line that contains the point (1,–1, 2) and is perpendicular to the plane 2x…

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Q: Find an equation of the plane that passes through the point (6, -4, 3) and contains the line given…

A: Find an equation of the plane passing through the point (6,-4,3) and contains the line x2=y-4-1=z.

Q: Find the equation of the plane through (-1,6,2) and perpendicular to the join of (1,2,3) and…

A: We have to Find the equation of the plane through (-1,6,2) and perpendicular to the joining of…

Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: Given: The equation of the plane passes through the point 3,-2,2,-9,2,4 and -6,-4,6.

Q: Find the equation of the plane passing through three points

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Q: Find the point of intersection of the line with equation (1,8,3) + t(1,-1,3) and this plane. What is…

A: Now we will find the point of intersection.  And we  will find the y coordinate of this point

Q: Line A, -2x + 6y = 6, is perpendicular to line B which contains point (-4, -1). What is the equation…

A: If Line A,-2x + 6y = 6, is perpendicular to line B which contains point (-4, -1).  To find the…

Q: Find the equation of the line L passing through the point (3, 7) and perpendicular to the line…

A: St.Line: Let the equation be y=mx+c We know the relation between the slope of an equation and its…

Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

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Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: The equation of the plane that contains the three points (0, 4, 4), (4, 0, 4), and (4, 4, 1) is

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Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

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Q: Find the equation of a plane passing through points (3,2,2), (1,0,-1) and parallel to the line…

A: Equation of plane is calculated as below:

Q: Find the linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

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Q: Find the equations of the lines that pass through the point (4,2) and are parallel to and…

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Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Give an equation of the plane: (a) (2 points) that contains the point (-2, 1, –3) and perpendicular…

A: GIVEN the plane that contains the points (-2,1,-3) and perpendicular to a line which is passing…

Q: the length of the line seyment joining the two Pointsof intersection with the two levels of two…

A: For xz level use y=0 and for xy level use z=0.   Then find two point . Then use the distance formula

Q: Point P (0,2) is the point of intersection of y axis and perpendicular bisector of line segment…

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Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

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Q: Do two points determine a plane?

A: No.

Q: Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given…

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Q: Find the general form of an equation for the plane through the points (4,3,4), (-2,0,1),(0,–1,2).

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Q: The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in…

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Q: Find the equation of a plane that goes through the points (- 4, – 4, 0), (3, 5, – 4), (0, – 2, 1).

A: Given: The three points ( – 4, – 4, 0) , (3, 5 , – 4) and (0 , – 2 , 1).   To find: The equation of…

Q: The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in…

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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.