23 Determine if the following pairs of planes, are paralle, and if not parallel find the parametric equations of the line of intersection. Use algebraic elimination! a) x+y=3z = 4 x+2y-z = 1 and

Q: The type of coordinate system that allows you to locate any point in space by using X, Y and Z…

A: The type of coordinate system that allows you to locate any point in Space by using X ,Y and Z…

Q: Explain how to tell when two planes are perpendicular.

A: Consider two planes. A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2. Here A1,A2,B1,B2,C1 and C2 are direction…

Q: 6. The z-axis. Answer:

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Q: 7. Let z = -3 + 5i. Plot the points z,-z,7,-ž and - in the complex plane.

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Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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

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Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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

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Q: he intercepts of the plane given by

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