Find the distance the point P (-10, -5, 3) is to the plane through the points Q (-5,-1,1), R (0,-6,-2) and S (-2,0,6).

Q: Find an equation of the plane. The plane that passes through the point (-3, 1, 2) and contains the…

A: This question is related to planes. We will solve this question by using property of plane

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 an equation for the plane through pointsP, Q, and R. P(1, -1, 2), Q(2, 1, 3), R(-1, 2, -1)

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Q: Find an equation of the plane through the three points given: P = (3,0,0), Q = (5, 1, 2), R = (7, 2,…

A: Let the equation of the plane passing through three points be  Ax+By+Cz+D=0 This plane passes…

Q: Find an equation of the plane that passes through the points M(1,2,3), N(-3,-2,5), and 0(2,-3,4).

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Q: Find the equation of the plane that passes through the points 4 = (2,4,-3), B = (3,-1,3) and y - 4 -…

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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: (b) Find an equation of the plane that passes through the points A(3, - 2, 0), B(1, 4, 2) and С(3,…

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Q: Find an equation of the plane that contains all the points that are equidistant from the given…

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Q: Find the equation of the plane passing through (0,0,-4)and perpendicular to the line joining the…

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Q: Find the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

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 an equation of the plane passing through the three points given.  P = (2, 0, 0), Q = (0, 4, 0),…

A: Equation for plane P is written in vector form as: n.(x,y,z)=d In scalar form equation is written as…

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 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: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

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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: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

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 an equation of the plane that passes through the points P, Q, and R. Р(5, —3, 4), Q(3, -5, —6),…

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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…

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Q: write down the equation of the plane. a) The plane containing the two lines given by ī =…

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

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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: Find the equation of the plane that contains the line 2 5-x 2+y – 5 – z, and the 3 point P( 0,5,2).…

A: We have to find the equation of the plane that contains the line and the point.

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

A: To find:- Find an equation of the plane that passes through the points P, Q, and R.   P(1, 2, 3),…

Q: Find the equation of the plane that passes through the points A = (1, –4, –1), В - (-5, —3, —5), and…

A: Proceed as shown below

Q: Find an equation of the plane consisting of all points that are equidistant from (-2, -1, 0) and (0,…

A: Find an equation of the plane consisting of all points that are equidistant from (-2, -1, 0) and (0,…

Q: Find the equation for the plane through the points P 0(1,-5,-3),Q 0(-1,1,-2) and R 0(-4,4,2) . Using…

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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 an equation of the plane. The plane that passes through the point (-3, 3, 3) and contains the…

A: Given,            The plane passes the point -3, 3, 3 and also contains the line of intersection of…

Q: ( ) Find the point of intersection of the plane passing through the points P(0,-2,-6) P(-1,1,5) and…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: Determine the general form of the equation of the plane passing through P(2,1,-1), Q(0,-2,0) and…

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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 the equation of the plane through the points (1, -1, O), (1, 0, 1) and (2, 2, 1).

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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 a plane containing the point (1,-8,-3) and the line of intersection of the planes - 3x – 8y +…

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Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

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 an equation for the plane containing the two (parallel) lines v, = (0, 1, –4) + t(1, 3, –5) and…

A: Solution: The objective is to find an equation for the plane containing the two parallel lines

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: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are

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

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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