The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must include the point (16, 0).

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

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Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

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

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Find the distance from the point Q(1, 2, -4) to the plane 2x - 5z = 5.

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

A: Let P=(1,-1,1) and n1=<1,1,-1> ,n2=<2,-1,3> The vector a for the line of intersection,…

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 the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

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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: Plot the planes given by the equations y z = 0 and x = 0 and their line of intersection using a box…

A: The given planes are y-z=0 and x=0. Hence the line of intersections of these two planes can be…

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

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Q: tangent to the parabola y=x^2

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Q: Find the shortest distance from the point (1, 5, -5) to the plane 2x + 9y - 3z = 6, using two…

A: Given point is 1,5,-5 and plane is 2x+9y-3z=6

Q: Find the point at which the line (-3, 3, 0) + t(-2, –3, –2) intersects the plane -2x – y + 3z = 5.

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Q: Find the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: here we know that parabola is passing through three points (0,0), (11,3) and (16,0) and we also know…

Q: 7. Find the distance between the point (- 3, 2, 1) and the plane with equation x - 2y + 3z = 5

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Q: Find the general form of the equation of the plane with the given characteristics. Passes through…

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Q: The plane containing the point (0,7,-2) and parallel to the plane -x + 8y + 6z = Ax+By+Cz = D. 4 has…

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Q: Find an equation of the plane that is parallel to the y-z plane and that passes through the point…

A: NOTE: Refresh your page if you can't see any equations. . the equation of any plane parallel to the…

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

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Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: We have to find the y-coordinate.

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 an equation for the plane consisting of all points that are equidistant from the points (1, 0,…

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Q: suppose that a non periodic comet will visit the solar system with the sun located at the focus of…

A: Parabolic trajectory of comet is 16y - 24 = x2. and sun located at its focus while earth at the…

Q: Find the distance between the point (2, 0, 1) and the plane 2x - 3y + 6z = 6.

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Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Find the distance from the point (-5, –13,6) to the plane –9x + 3y – 8z = -67. Distance is ...

A: Given:            point a(-5,-13,6)=(x0,y0,z0)            plane equation is -9x+3y-8z+67=0we know…

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: Find the point at which the line (-4, –5, 2) + t(-4, 3, –5) intersects the plane 2x + 5y + 4z = -6

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Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: 4) Find the distance from the point (1, 2, – 1) to the plane 2x+y- 2z = 1.

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Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

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Q: Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at…

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Q: Find the distance of the point (3,8,2) from the line =22= measured parallel to the plane 3x + 2y- 2z…

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Q: Write the equation of the plane passing through point (3, 8, 3)| that is parallel to the xz- plane..

A: Given: A plane passes through (3, 8, 3) and is parallel to the xz-plane. To Find: Equation of plane

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

A: To find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: find the orthogonal trajectory of family of parabolas represented by the equation…

A: To find orthogonal trajectories of  y2=4ax.

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: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Determine the cartesian equation of the plane having x-intercept of 2, a y-intercept of 5 and a…

A: To find the cartesian equation of the plane

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…

Q: Find the orthogonal trajectory for the family of parabolas with center at the origin and focion on…

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Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

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