Find an equation of the plane through (-1, 2, -5) and perpendicular to the planes 2x- y+z = 1 and x+y- 2z = 3.

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 the equation of the plane passing through the points (1,0, -1), (-1,2,1) and parallel to the…

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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: Determine an equation of the plane that contains the point (1, 1, 2) and is parallel to the plane…

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

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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. the plane that passes through the point (1, 5, 1) and is…

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

A: given planes are x+y-z = 5, 4x-y+5z = 1 The equation of plane that contains intersection of planes…

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 an equation of the plane. The plane that passes through the point  (1, −1, 1)  and contains…

A: The parametric equations of the line x=3y=4z may be re-written as  so that its vector equation is…

Q: Find the equation of the plane through the point (1,2,-1) and parallel to the plane 2x- 3y+4z+6-D0.…

A: To find: The equation of plane passing through the point 1,2,-1 and parallel to plane 2x-3y+4z+6=0.…

Q: Find the equation of the plane through (3,2,1) and (3,1,-5) and is perpendi čular to the plane 6x+…

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Q: find the equation of the plane passing through(1,0,-1)&(-1,2,1) and parallel to the line of…

A: To determine: The equation of the plane passing through the points (1, 0, -1) and (-1, 2, 1) and…

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

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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 an equation of the plane through the given point and parallel to the given plane. origin 2x -…

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

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: GIVE AN EQUATION OF THE PLANE DESCRIBED BELOW (A. ) containing (-5, 2, 4) and perpendicular to the…

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Q: Find a plane through the points P1(1, 2, 3), P2(3, 2, 1) and perpendicular to the plane 4x - y + 2z…

A: The given points and the plane are,

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

A: Please see the explanation below

Q: Find an equation of the plane. The plane through the point (5, -3, -3) and parallel to the plane 4x…

A: We can use the concept of plane in order to solve the given problem.

Q: Find an equation of a plane through the point (1, -4, -3) which is orthogonal to the line x = -3 –…

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Q: Find the distance from the point (-3, 4, -1) to the plane 5x−4y−5z=−3.

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

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Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

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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: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

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Q: Find an equation of the plane. The plane through the point (9, -1, -7) and parallel to the plane 7x…

A: Answer

Q: Find the equation of the plane passing through (2, 0, 1) and (-1, 2, 0) and perpendicular to the…

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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 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 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. 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 equation of a plane passing through points (3,2,2), (1,0,-1) and parallel to the line…

A: Equation of plane is calculated as below:

Q: Find equation of the plane through (1,0,-1).(-1,2, 1) and parallel to the line of intersection of…

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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 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 the equation of the plane passing through (1,0,-1)&(-1,2,1) and parallel to the line of…

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Q: Find an equation of the plane. The plane through the point (9, -8, -6) and parallel to the plane 7x…

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Q: Find an equation of the plane through (-8, 4, –9) that is perpendicular to the planes 5x – y +z = 1…

A: Solution of question is written in below steps.

Q: Find the equation of the plane through (-6,5,-1) and is parallel to the xy plane

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Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Find an equation of the plane. The plane through the point (7, −2, −7) and parallel to the plane 9x…

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Q: Find the equation of the plane through Po (2,-1,-1) and P1(1,2,3) and perpendicular to the plane…

A: Given: P0(2,-1,-1) and P1(1,2,3)  2x+3y-5z-6=0

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

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Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: Find an equation of a plane through the point (-2, 1, 5) which is orthogonal to the line 2= -3- 3t,…

A: The director vector of the line is (-3, -4, -3). Given that the plane is orthogonal to the line. So…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.