Find the distance from the point to the given plane. (1, -4, 6), 3x + 2y + 6z = 5

Q: Find an equation for the plane that passes through the point (-7, 10, –8), is parallel to the line x…

A:

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

A:

Q: Find the equation of the plane through the point P= (3,3,5) and parallel to the plane y – 5x + 5z =…

A:

Q: Find the equation of the plane through the point P= (2,4, 5) and parallel to the plane - (5x + 3y +…

A: Parallel plane problem....

Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

A:

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A: Two planes are neither perpendicular nor parallel.

Q: Find the distance from the point to the plane. (2,5,6), у + 6z%30 The distance is

A:

Q: draw the plane given by the equation  x + y + z = 0

A: x+y+z=0 It is a plane passing through origin.

Q: Find an equation of the plane determined by the points P(0,0,0), Q(-1,2,4), and R(2,1,3)

A:

Q: Find an equation for the line that is orthogonal to the plane 3x- y+ 2z =10 and goec through the…

A:

Q: Write the equation of the plane that contains the point P(1, 3, 5) and the line L: x = 4t, y = 6 +…

A: It can be solved using properties of plane.

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

A:

Q: Find the distance from the point A(2,4,3) to the plane determined by the three points B(1,4,2),…

A:

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

A:

Q: Find the Cartesian equation of the plane containing the points A(1,0,3), B(1,1,-2) and C(-1,2,0).…

A: Solution

Q: Find the equation for the plane through Po(6, – 3,7) perpendicular to the following line. x= 6+t, y…

A: Given equation of the lines are, x=6+t, y=-3-5t, z=5t The given equation of the lines can be written…

Q: Find an equation for the plane that contains the line x = − 1 + 3t, y = 5 + 3t, z = 2 + t and is…

A: We need to determine the equation of the plane that contains the line: x=-1+3t, y=5+3t, z=2+t and is…

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

A:

Q: Find an equation of the plane through the point (2,0, 1) and perpendicular to the line x = 3t, y = 2…

A: To find the equation of a plane passing through (2,0,1) and perpendicular to the line x=3t , y=2-t ,…

Q: The equation of the plane which is parallel to y -axis and cuts off intercepts of length 2 and 3…

A:

Q: Find an equation of the plane containing the points P(O,0,o) and Q(2,2,2) and parallel the line…

A: Given:- Equation of line x= t, y = 1,z= t  To find:- An equation of the plane containing the points…

Q: Find the equation of the plane containing the points P= (2, 0, 0). Q = (0, 2, 1), and R = (1,0, 3).

A: This question is based on finding equation of plane when we know 3 points of plane.

Q: Draw the plane given by the equation. x + y + z = 4

A: x+ y+ z= 4

Q: Find the point o

A:

Q: Find the distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

A:

Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

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 the equation of the plane which contains the line ( 2 + t , 3 − t , 4 + 2 t )and the point ( 0…

A:

Q: Find an equation for the plane containing the three points P = (1, 2, 3), Q = (3, 1, 2), and R = (2,…

A: To find an equation for the plane containing the three points P = (1, 2, 3), Q = (3, 1, 2), and R =…

Q: Find the equation of the plane for all points equidistant to (1, -1, 1) and (0, -5, -2).

A:

Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

A:

Q: Find the equation of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…

A: Given, the plane contains the lines x = 3t, y = 1 + t, z = 2t and parallel to the line of…

Q: Write the equation for the plane. The plane through the point P(-4, -1, -6) and perpendicular to…

A: GIVEN: Point P (-4, -1, -6)  Line x = 10 + 4t, y = 7 + 3t, z = 1 + 5t

Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 10). O z = 5x + 10y O…

A:

Q: Find the equation of the plane which passes through O and is parallel to z –- 3x = -2 %3D х+ y + z =

A:

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: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A:

Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

A:

Q: Find the equation of the plane that contains the points P(-1,2, 1), Q(0, -3, 2), and R(0, 1,-4)

A:

Q: Find an equation of the plane that passes through the points P, Q, and R. P(3, -5), e(6, 3, -3),…

A:

Q: ₁:9x+13y-2z=-4 x = 5+2t y=-5-4t z = 2+3t

A:

Q: Find the equation of the plane that contains the point P(3,5, –1) and the line = 4 – t, y = –1+ 2t,…

A:

Q: Find the distance, d, between the point S(9,3,5) and the plane 9x + 1y + 1z= 36. The distance, d,…

A: