Two automobiles are driving on a plane. The first automobile is moving north at 10 m/s and rising 5 m/s. The second automobile is moving east at 7 m/s and descending 3 m/s. Assuming that this plane contains the origin, determine the Cartesian equation of this plane.

Q: (d) Find the Cartesian equation of the plane that contains both the line L2 and the point A

A: Introduction: The scalar product of two vectors OA and OB is given by, OA·OB=OAOBcosθ The vector…

Q: 3. The plane in ' with equation 4x=34 %3D

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Q: Write down the equation of any plane through the origin.

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Q: Find the Cartesian equation of the plane through the point (5, 1,0) and parallel to the lines = 2+t,…

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A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

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Q: find the equation of the plane with the given description. Passes through O and is parallel to 4x −…

A: Solution:Given    A plane 4x − 9y + z = 3To find the equation of the plane passess through O and is…

Q: Find an equation of the plane indicated in the figure. 4 Equation: Y 4 4

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A: Consider the provided question, The equation of a plane passing through the point (x1, y1, z1) is…

Q: Find an equation of the plane satisfying the given conditions.

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Q: Find the standard equation of the plane that contains three points A(1,0,-1) B(2,1,1) and C(1,2,-3).

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Q: :) Find the shortest distance from the point P(3, 1, 1) to the plane with equation 2x – 3y + 2z = 22…

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x-3y+5z+13=0

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

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Q: 1. Find an equation for the plane through Po (0,2,-1) perpendicular to n = 3i - 2 j- k ?

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

Q: Find an equation for the plane through the points (-2, –2, 0),(-1,4,–9), and (–10, –6, –4). tion for…

A: Given points are -2,-2,0 -1,4,-9 and -10,-6,-4find the equation of a plane

Q: 2) Find an equation of the plane that contains all points that are equidistant from the points…

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

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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: Show the following curve is flat and Write the equation of the plane on which the curve is located:

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Q: -1. Through (1,5, 2) perpendicular to 37 – J + 4k .

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Q: he intercepts of the plane given by

A: Intercepts of the plane are (3,5,3).

Q: The general equation of the plane that containsteh points (1,0,3),(-1,1,-3)and the origin is of the…

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Q: The general equation of the plane that contains the points (1, 0, 3), (-1,1,-3), and the origin is…

A: Explanation: Given that,  equation of plane ax+by+cz=0and (1,0,3), (-1,1,-3) and (0,0,0) on the…

Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

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Q: Since there is no friction between the rod of mass M and length L and the plane, what will be the…

A: Note, that since the surface is frictionless so there will be no external force in horizontal…