When the Cartesian coordinate system is used to describe three-dimensional space, one needs three axes. These axes are typically called the and axes.

Q: What do coordinates mean?

A: Coordinates are set of points that defines exact position of a point in XY-plane.

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: A point in the threedimensional coordinate system has coordinates             (x0, y0, z0). Describe…

A: When we have a three-dimensional space-XYZ. We take a point in the space that is represented by (x,…

Q: Write a paragraph that describes a Cartesian plane. Thenwrite a second paragraph that describes how…

A: We have to write a paragraph on Cartesian plane.

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: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: Mya graphed point A (-12, -9) and point B (12, -9) on a coordinate grid. What is the distance…

A: Two points  are drawn on a co-ordinate grid. The points are : A=-12,-9B=12 , -9 We need to find the…

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: onfiguration sh

A: The dual configuration diagram is given as,

Q: For each pair, determine if the planes are parallel, orthogonal, or neither. Explain your answer.…

A: The normal vector of a plane is a vector that is perpendicular to the plane. It can be found by…

Q: 6. The z-axis. Answer:

A:

Q: What are the advantages and disadvantages of each system? (Cartesian (rectangular), the polar, and…

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Q: Find direction numbers for the line of intersection of the planes x + y + z = 2 and x + z = 0.…

A: Given planes: x+y+z=2 and x+z=0.

Q: Can you help me better understand the properties of a special parallelogram

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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: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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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: Give the coordinates of a point such that if the coordinates are reversed, their location is the…

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Q: Зх + 2у + 3z %3D 6

A: Use a graphing utility to plot the graph of 3x+2y+3z=6 .

Q: Plot the points in same three-dimensional coordinate system and determine whether u and v are…

A: The graph is shown below:

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: a student asks if every translation on a grid can be accomplished by a translation along a…

A: The statement given by the student is not correct.All the translation can be accomplished by a…