ɔ determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) ie in tne same plane.

Q: Find an equation of a plane containing the three points (5, 2, 2), (8, 7, 3), (8, 8, 5) in which the…

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Q: Find an equation of the plane. the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0)

A: use the equation of plane(formula) for finding  the equation .

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: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: A plane is passing through the points A(0,1,3), B(-1,2,0) and C(3,-2,4). Find

A: The vector form of the equation of a plane is given by the expression (r→-a→)·(b→-a→)×(c→-a→)=0.…

Q: ind an equation of the plane that passes through the points P, Q, and R. P(2, −1, 3),  Q(3, −2,…

A: We have to equation of plane

Q: Let A be the point with coordinates (4, 3, -2) and let B be the point with coordinates (3, 3, -1).…

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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 an equation of the plane passes through the points P(-3,-4, 2), Q(-3, 4, 1) & R (1, 1, -2)…

A: We need to find the equation of plane passing through points P,Q and R.

Q: If the plane contains the points P(1, 0, 0), Q(3, 2, 0), R(0, 2, 1), W(a, 1, ), then a = -6 O-2

A: Solution: The equation of plane passing through points P1,0,0, Q3,2,0, R0,2,1 is x-y+3z-1=0

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

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Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Let A be the point with coordinates (4, 4, 2) and let B be the point with coordinates (3, 4, 3). Let…

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Q: Find the distance between the point (5,-4, 1) and the plane containing the points (4, -2, 3), (-1,…

A: Here we have to find the distance between the point (5,-4,1) and the plane containing the points…

Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (8, 4, 5), and (−2, −2, −4)

A: Equation of a plane passing through (x1,y1,z1) , (x2,y2,z2) , (x3,y3,z3) is given by:

Q: The plane through the points (1, 2, 3), (1, – 1, 1), and (–1, 1, 1). |

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

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Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

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Q: Find all the planes parallel to the plane passing through the points(1, 2, 3), (1, 2, 7), and (1, 1,…

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Q: Consider the point. (2, 4, 5) What is the projection of the point on the xy-plane? (х, у. 2) - What…

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Q: Suppose a plane containts the point P = (1, 2, 3) and vectors å = (4, 1, 0) and b = (6, 0, 1). Use…

A: Solution

Q: 8. Determine if point A(-1, -3, 9) lies on the plane T: 8x-3y+2z=4

A: The point lies on the plane if the coordinates of the point satisfy the equation of the plane.

Q: point P(1, 1, –3) and orthogonal to the plane 3y – 4x + 2z = 3. |

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Q: Find an equation of the plane. The plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)

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Q: Sfor fig shuwn, find the plane using algebric methorde C0,0,3) Cり,) ×

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Q: Find an equation of the plane. The plane through the points  (2, −1, 3), (6, 4, 6), and (−3, −3,…

A: Let the given points are - A=(2,-1,3) B=(6,4,6) And C= (-3,-3,-3)

Q: 3) Find the plane through the points: A(2, 4, 5), B(1, 5, 7) and C(-1, 6, 8)?

A: Let the given points are:

Q: Find an equation of the plane. The plane through the points (4, 1, 4), (5, −8, 6), and (−4, −5, 1)

A: ivenThe plane through the points(4, 1, 4) , (5, -8, 6) and (-4, -5, 1)we have to find the equation…

Q: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…

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Q: Consider the point. (4, 5, 6) What is the projection of the point on the xy-plane? (х, у, 2) 3D (|…

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Q: 1 Find the plane through the points A(1,2,-), B(4,2,-2) and C(2,3,4)?

A: We are given the points : A(1,2,14) , B(4,2-2) and C( 2,3,4) Equation of a plane passing through…

Q: 1. Find the plane through the points A(1,2,-), B(4,2,-2) and 4' C(2,3,4)?

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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: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation…

Q: Find the equation of the plane containing the points P = (−1, 1, 0), Q = (3,2,4) and R = (4,3,1

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Q: Find the plane passing through the points (1,-3,-3) , (0,0,-2) , (7,0,0).

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Q: Find an equation of the plane passing through the points.(0, 0, 0), (1, −1, 0), (0, 1, −1)

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Q: (1 point) Find the point at which the line (-2, 1, –5) + t(-1,–1, –2) intersects the plane 4x – 2y +…

A: To findcthe point at which the line (-2,1,-5)+t(-1,-1,2) intersects the plane 4x-2y+2z=-68

Q: Find an equation of the plane: The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

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Q: What is the equation of the plane containing the points (1,−2,0) , (3,1,4) and (0,−1,2)?

A: The equation of the plane containing the points (1,−2,0) , (3,1,4) and (0,−1,2)

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

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find an equation of the plane that passes through the points P, Q, and R. P(5, 6, 7),  Q(3, 4, 5),…

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Q: Find the equation of the plane passing through the points O = (0,0,0), A = (2,2, –4) and B = (-4,0,…

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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: Consider the point. (3, 5, 6) What is the projection of the point on the xy-plane? (x, y, 2) = What…

A: given point is (3,5,6) find the projection on xy, yz , zx planes  also find the length of diagonal…

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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Q: The plane that contain point P (0,3,2) and line L, where the line passes through points A(2,1,4) and…

A: Given point on the plane is, P0,3,2 And the line passes through the point is, A2,1,4 and B3,7,6 The…

Q: Find an equation of the plane passing through the points.(0, −1, 0), (1, 1, 0), (2, 1, 2)

A: we have to find an equation of the plane passing through the points (0,-1,0), (1,1,0), (2,1,2)

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1