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

Q: what are the coordinates on the directed line segment from (-7, -9) to (-2,-4) that partitions the…

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Q: Which of the points A(9, 0, 3), B(6, 5, 6), and C(2, 9, 2) is closest to the yz-plane? Which point…

A:

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).

A:

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

A: The given points are: (3, 2, 3),  (4, -3, -3),  (4, 4, 1)

Q: 7) Show that the triangle whose vertices are the points (1, 2, -1), (2, 3, 5) and (2, 1, 3) is/isn't…

A: Here we have to show that the triangle whose vertices are the points (1,2,-1), (2,3,5) and (2,1,3)…

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

A:

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: 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 (4,-3,-4), (-6,2,8), (3,-8,8)

A:

Q: (1, 3, 3), (3, -1, 5)

A:

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line…

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

A:

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

A:

Q: Is Span({(4,–10, 6), (-6, 15,–9)}) a line or a plane in R³? Why?

A:

Q: Postulate 12 states that if two points lie in a plane, the line that contains them lies in the…

A: We need to determine whether the given statement is true or false. Postulate 12 states that if two…

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

A:

Q: Find the equation of a plane passing through (2,1,3), (3, –1,5), and (1,2, –3).

A: Equation of plane

Q: 8) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

A: The k points are coplanar then we say k points are lie in the same plane.

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: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if…

Q: 6) Write an equation of the plane through the points P(5,3,8), Q(6,4,9), and R(3,3,3).

A: The plane passing through the points P5,3,8, Q6,4,9 and R3,3,3

Q: Find a plane containing the point (- 5, – 5, 2) and the line r (t) = (1, – 2, 1) + t(4, 7, 5).

A: Given that the required plane passes through the point P=(-5,-5,2) and required plane contains the…

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

A:

Q: 4- Find an equation of the plane that passes through the given points (-2, 1, 1), (0, 2, 3), and (1,…

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Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: Which of the points A(-4, 0, -1). B(3, 1, -1), and C(2, 4, 6) is closest to the yz-plane? Which…

A:

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

A: The solution is given as follows

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

A:

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: 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: 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: Find a plane containing the point (-5,7,-6) and the line 7(t) : +t

A:

Q: 16- Find the equation of the plane that contains the line = 5 - z, and the %3D point P( 0,5,2).

A:

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

A:

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

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

A:

Q: Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P.(7, 2, 4) lie in the…

A: 4 points are given and we have to check whether these lie in same plane or not.

Q: Explain why the two planes P₁: =(2,5,3)+(2,-1,-3) +(1,0,-1), s,/€ R, and P',: 7=(4,4,0)…

A:

Q: Find a plane containing the point ( - 5, - 5, 2) and the line r(t) = (1, - 2, 1) + t(4, 7, 5).

A: First you will find the normal vector to the plane and then find the value of the constant d

Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

A:

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 (4,3,3), (-4,-6,3), (1,-2,7)

A:

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…

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.