The plane through the points (-2,2,-1), (7,6,4), (-3,-4,1) has equation Ar + By + Cz = D. If A 38 find the following: B = C = D =

Q: Find the equation of the plane through (-1,4,2) and containing the line of intersection of the…

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Q: Find k so that the line through (4, -1) and (k, 2) is a. parallel to 2x + 3y = 6, b. perpendicular…

A: The line passes through the points (4, -1) and (k, 2). Then the slope (m) of this line is: m = [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: 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: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: Does the point (3, 2, -2) lie on the line through C(-1, 4, 5) and D(3, 2, 8)?. In each system, at…

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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: |Find the coordinates of the intersection of the diagonals of paralle with vertices P(2,5), R(3,3),…

A: Follow the procedure given below.

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: Find an equation of the plane passing through the three points given.P = (2, −1, 4), Q = (1, 1, 1),…

A: To find the equation of the plane passing through the three pointsP =x1,y1,z1= (2, −1, 4), Q…

Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

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

A: GivenP=(5,1,1) , Q=(1,1,2) and R=(2,1,1)To find equation of plane passing through the three points.

Q: R: square with vertices (0, 0), (2, 0), (0,

A: Given,         f(x, y)=19+3x-3y         R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2).

Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

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Q: The plane through the points (8,4,5), (-3,7,-5), (7,8,-3) has equation Ax + By+ Cz = If A = 16 find…

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Q: Find an equation for the plane through P(1,4, 4) that contains the line of intersection of the…

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

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: The distanced of a point P to the line through points A and B is the length of the component of AP…

A: Answer

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: The plane that passes through  (9, 0, −3)  and contains the line  x = 6 − 3t, y = 2 + 5t, z = 4 +…

A: Given : A point (9,0,-3) where the plane passes through.             A system of equations for line…

Q: 1. Find the equation of the perpendicular bisector through: (2,-5) and (3,1)

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Q: The plane through the points (-5,-1,5), (2,4,7), (7,5,-6) has equation Ax + By + Cz = D. If A = 67…

A: 1)A plane containing the point (-5,7,-6) and the line r¯(t)=2,6,-2+t1,-3,-4 2)A plane passing…

Q: The distanced of a point P to the line through points A and B is the length of the component of AP…

A:

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

A: Recall: Equation of the Plane containing three points P,Q and  R is expressed as ,            r→ .n∧…

Q: If point A has coordinates (3,5), point B has coordinates (3, 2) , and ABCD is a square, which of…

A: we have to find the coordinates of C using given data

Q: If the plane through the points P(1,1, –1),Q(3,0, 2), and R(-2,1,0), which of the following are…

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Q: If the plane through the points P(1,1, –1), Q(3,0, 2), and R(-2, 1,0), which of the following are…

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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: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…

A: Given that, Point A (1,3,-2) Two planes  P1: x-y+z-1=0P2: x+y-x-1=0   We have to find the equation…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

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

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

Q: Find the equation of a plane passing through A(2,1,3), B(3, −1,5), and C(1,2, −3).

A:

Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non…

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

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Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: Find the equaation of the pair of lines intersecting ar (2,-1) parallel to the pair 6x2-13xy-5y2=0

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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 through (2,4,-1) and contains the intersection line of the planes…

A: Let's find.

Q: If M (-1,2) is the midpoint of AB and B has the coordinate of (3,-5), coordinates of A is O (-4,1) O…

A: Given :M (-1,2) is the midpoint of AB and B(3,-5)

Q: The plane through the points (2,-7,-8), (7,1,1), (4,6, 2) has equation Ar + By + Cz= D. If A -69…

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Q: Find an equation of the plane through the three points given: P=(0,0,3), Q=(2,−3,2), R=(−1,1,0)

A: find the equation of the plane