Find the symmetric equations of the L that is parallel to the two planes x+y-z= 2 and z + 3y+ z = -3, and that passes through the point P(1,2, 3) O -1=y - 2 = 3 - z I-1 O = y – 2 = 3 – z %3D O= =y - 2 = = = - y – 2 %3D O 1-r = y – 2 = 3 – z - y – 2 %3D

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: Find the equation of the line perpendicular to the line 4x – 3y = 0 and passes through the point of…

A: Given,          An equation of the line perpendicular to the line 4x-3y=0 and passes through…

Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

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Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

A: Consider two planes which are not parallel to each other and intersect. Since planes are three…

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: Which of the following equations define the plane passing through the points (3,0, 0), (0, –7,0),…

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

A: Let the equation of the plane that contains the line of intersection of the planes 3x-y+3z=-1 and…

Q: V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in…

A: We have to solve the problem

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Find the symmetric equations of the L that is parallel to the two planes x + 2y - z= 2 and x + 6y+ z…

A: Given: Two planes, P1: x+2y-z=2, P2: x+6y+z=-3, Point P1, 2, 3

Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

A: Vertices of triangle ABC are A(2,-3) , B(-2,1) and the centroid of this triangle moves on the line ,…

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

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