Represent two planes that intersect at a line represented by 3 +2

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

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

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Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: Given, the three points (-2, 1), (-1, 0) and (2, -2). We have to determine that whether these three…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Give an example of three planes that have a common line of intersection

A: example of three planes that have a common line of intersection

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

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Q: Find the plane that passes through (3,-1,2), (2,1,5), (1,-2,-2).

A: Given points are, (3,-1,2), (2,1,5), (1,-2,-2).

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

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

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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: 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 a plane through the points (2,-6,-1), (4,3,-4), (-3,-7,-8)

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Q: Determine the equation of the plane determined by the points (1, 2, 3), (-8, 4, 6), and (3, 7, 9)

A: As we know the formula for finding equation of plane is given by    where (xA , yA , zA), (xB , yB ,…

Q: Find a plane through the points (2,1,-2), (5,-4,4), (6,7,-4)

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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 a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: Find the midpoint between the pair of points. (3,0) and (-5,4)

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Q: point on the line

A: I

Q: Explain how you would determine whether three planes intersect in a line.

A: Let's assume the equations of three planes 1. a1x+b1y+c1z+d1=0 2. a2x+b2y+c2z+d2=0 and 3.…

Q: Find an equation for the plane through the points (5,4,5),(−2,0,−1),(0,1,2).

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Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Plot the points (5, 5), (−2, 0), (−3, 6), (−1, −7) in the Cartesian Plane.

A: A point x,y on the cartesian plane represents that the distance of the point from y-axis is x and…

Q: Write the characterisation of two parallel planes (given in general forms) in terms of the cross…

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Q: Find the intersection of the planes 2x + 4y - 6z = -8 and 2x + 5y - 7z = -9.

A: We have to find the intersection of the given planes.

Q: (b) Sketch the plane representing -2x2 -8

A: Draw the equation of plane in three dimensional coordinate system.

Q: Explain how to find the distance between two parallel planes.

A: Explain how to find the distance between two parallel planes.

Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

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Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: Find 1x²z ds, where C is the line segment C from (0,-3,-5) to (2,1,-5)

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Q: Find an equation for the plane through А (0, 0, 1), B (2, 0, 0), and С (), 3, 0).

A: The equation of a plane passing through three points Ax1, y1, z1, Bx2, y2, z2 and Cx3, y3, z3 is…

Q: Determine the equation of the plane that contains the points (3, 4, 1), (1, 7, 1) and (-1, -2, 5)

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Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: Find the equation of the plane that passes through (-3, -4,2), (-3,4, 1), and (1, 1,-5)

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Q: Find a plane through the points (6,-2,-4), (1,-3,5), (2,6,-5)

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Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

Q: Plot the points (– 5, – 1), (– 1, – 3), (4, – 4), (0, – 5) onto the coordinate plane below. 4 -6 -5…

A: The value of x is positive in the first and the fourth quadrant and negative in the remaining…

Q: 6 3 2x + y – 5z =0 and -4|+t| -2 || నా

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Q: Explain whether the planes 3x-6y-9z+5= 0 and x + 2= 2y + 3z will ever intersect

A: If given two planes a1x+a2y+a3z=c , andb1x+b2y+b3z=d are parallel thena1b1=a2b2=a3b3

Q: Find a plane through the points (-3,-1,-8), (-2,4,-7), (1,6,-4)

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Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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Q: Find a plane through the points (-8,8,3), (-7,8,-2), (7,1,-5)

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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.

Q: Find a plane through the points (-1,5,-8), (-2,8,6), (1,8,-6)

A: The given points are: x1, y1, z1=-1, 5, -8 x2, y2, z2=-2, 8, 6 x3, y3, z3=1, 8, -6   Now the…