Find the equation of the plane that contains the point (−2, 3, 1) and the line <−2, −1, 2>+t<4, 5, −5>.

Q: Find an equation of the plane through the three points given: = (5,0,0) , Q = (9, 1, 3) , R= (8, 4,…

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Q: Find an equation of the plane. The plane through the origin and the points (1, -3, 6) and (8, 4, 1)

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Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

Q: Find the equation of the plane through the points (2,-1,3), (2,0,–-1),and (0,7,2).

A: Given that three points and we find that equation of plane . Here i attached solution of this…

Q: Find an equation for the plane through the points (3, 4, 33), (2,1 -2), (0, 1, –1). The plane is

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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 an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11) and…

Q: Find the equation of the plane through (3, -1, 2), (4, 0, 2), and (5, 3, 1).

A: Vector equation of a plane passing through three points with position vectors a→, b→, c→ is…

Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 1, 3), R = (-3,…

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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: 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 a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

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 an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

Q: Find the equation for the plane through the points Po(-2,3,5), Qo(-4, – 1, - 2), and Ro(4,1,0).

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

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Q: Find the equation for the plane through the points (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

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Q: Find an equation of the plane that passes through the points (3, 2, 1), (2, 1, – 1), and (-1,3, 2).

A: Given:3,2,1, 2,1,-1   and -1,3,2

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

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Q: Find the equation of the plane that passes through the points P1 = (2, 3, 1), P2 = (5, 4, 3), P3 =…

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Q: Find the equation for the plane through the points Po(-3,- 2, – 4), Qo(2,1,3), and Ro(3, - 2, – 5).…

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Q: Find the equation of the plane that contains the points (3, 4, 6), (-2, 1, 1), and (-1,6,8).

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Q: Find the equation for the plane through the points Po(4,2,5), Qo(- 3,1, - 1), and Ro(-1,- 2,3).

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Q: Find the equation of the plane containing the point (7,-2,-5) and is perpendicular to the line…

A: We have to find the equation of the plane

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 point at which the line (-4, 1,1) + t(2, -5, 4) intersects the plane -5x+ 3y – 3z = -54.

A: the given line is  xyz=-411+t2-54 xyz=-411+2t-5t4t xyz=-4+2t1-5t1+4t

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

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

A: We have to find the equation of a plane which passes through the following points -  P = (0,0,1) Q =…

Q: Find the equation for the plane through the points PO(3,4,-2) ,Q0(-5,5,-5) and P0(-5,0,-4) Using a…

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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: Find the equation of the plane that passes through the points P1 = (1, 1, 2), P2 = (2, 3, 3), P3 =…

A: The given points are:

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 a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: Find an equation of the plane. The plane through the origin and the points (2, -1, 5) and (9, 3, 2)

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Q: Find an equation for the plane passing through the points (– 5, 2, 3), ( – 1, 2, 5), and (– 2, – 3,…

A: We have to find equation of plane Passing through 3 points.

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: Find an equation of the plane through (0,5,0), (1,3, –2), and (-3, 4, 2).

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

A: The given points are P=(0,5,0), Q=(2,1,-4), R=(-1,1,-3) We have to find an equation of the plane…

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

A: Given,            The points are -1,3,1 , -2,2,2 and 4,-2,-3.We know that,            The equation…

Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, –5, 2) in…

A: Given points (-3,-1,1) , (-4,-6,0) , (-4,-5,2) We have to find the equation of plane consisting…

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 an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

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Q: Find the equation for the plane passing through the points P₁ = (-2,5, -2), P₂ = (-2, 0, 0), and P3…

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