Cartesian 3D Vector Plotting Points?

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Homework Help Overview

The discussion revolves around plotting points in Cartesian 3D space, specifically the point B(-2,3,5), and understanding the relationship between the coordinates and their respective axes. The original poster seeks clarification on how movements along one axis affect the others.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of moving along the x, y, and z axes independently. The original poster questions the movement dynamics when plotting the point (-2,3,5) and seeks further assistance on determining the plane defined by three other points.

Discussion Status

Some participants have provided insights into the independence of movements along different axes. However, there is a lack of consensus on how to approach the problem of finding the equation of a plane from the given points, with one participant suggesting further study of the material.

Contextual Notes

There is an indication that the original poster may be struggling with foundational concepts in 3D plotting and plane equations, as well as a reference to needing to consult additional resources for clarification.

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Homework Statement


Plot the following point:
B(-2,3,5)




The Attempt at a Solution


If I were to plot (-2,3,5), when I make my first movement of -2, it does not move anywhere on the y-axis correct and when I am moving on my Y axis, There is no movement in the z axis?
 
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In Cartesian coordinates (-2,3,5) is the same thing as saying "-2 in the x-direction, 3 in the y-direction, and 5 in the z-direction". As movement in the x,y,z-directions don't affect the other directions, so yeah...although note that if you're moving on the y-axis, you're not only not moving on the z-axis, but you're also not moving on the x-axis.

So it's "move -2 on the x-axis, move 3 on the y-axis, move 5 on the z-axis".
 
Ok thank you, can you give me some help on this:

What is the axis or plane these points would lie:

(-3,0,0) (4,-2,0) and (0,3,-5)
 
If you're unsure about how to plot a point in 3D space, I'm not too sure how I'm going to explain to you how to find the equation of a plane from three points.

Open your calc 3 book and get to reading.

The way I would do it is find a normal vector for the plane by taking a cross product of two vectors defined by those points and then dotting that normal vector with a vector in the plane and setting it to zero...

You need to go and learn the material. The answer is 10x + 35y + 27z + 30 = 0, if you need to check yourself.
 
Last edited:

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