Are 3D coordinate angles restricted to certain values?

In summary, the conversation discusses the constraints for coordinate angles in 3D space, with options A to E being potential conditions. The squared cosine of all three angles must equal 1, but the specific conditions for the angles are unclear. Option E may be the most likely answer, but there is some conflict with option C. More clarification is needed to determine the correct answer.
  • #1
Tiven white
58
0

Homework Statement


In 3d coordinate space any two of the coordinate angles must
A. Sum to less than one
B. Be greater than ninety but less than one eighty.
C. Each be greater than forty five degrees
D. Sum to greater than 90 ( if they are both less than 90)
E. Have cosines less than (√2/2).


Homework Equations





The Attempt at a Solution

I think the answer is e but there is s some conflict between c can anyone clear this up for me
 
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  • #2
What is your reasoning for C and E?
 
  • #3
The squared cosine of all the three angles = to 1
 
  • #4
I must say, I don't even understand the question. What's meant by the "coordinate angles" here? If you refer to spherical coordinates in 3 dimensions, then the polar angle is between [itex]]0,\pi[[/itex] and [itex]\pi[/itex] and the azimuthal angle between [itex][0,2 \pi[/itex]. This is a chart for the entire Euclidean space except the polar axis.
 
  • #5
Tiven white said:
The squared cosine of all the three angles = to 1

And how does that imply C or E?
 

Related to Are 3D coordinate angles restricted to certain values?

1. What are 3D coordinate angles?

3D coordinate angles refer to the measurement of angles in three-dimensional space. They are used to describe the orientation and position of an object or point in space, using three axes (x, y, z) to represent the three dimensions.

2. How are 3D coordinate angles represented?

3D coordinate angles can be represented in a variety of ways, depending on the coordinate system being used. The most common representation is in degrees or radians, with 360 degrees or 2π radians representing a full rotation around an axis.

3. What is the difference between 3D coordinate angles and 2D angles?

The main difference between 3D coordinate angles and 2D angles is the number of dimensions they represent. 2D angles only measure rotation around a single axis, while 3D coordinate angles measure rotation around three axes simultaneously.

4. How are 3D coordinate angles used in science?

3D coordinate angles are used in various scientific fields, such as physics, engineering, and astronomy. They are essential for describing the position and orientation of objects in space and are used in calculations and simulations to understand and predict physical phenomena.

5. What are some common applications of 3D coordinate angles?

Some common applications of 3D coordinate angles include computer graphics, robotics, and navigation systems. They are also used in video games, virtual reality, and 3D modeling to create realistic and accurate representations of objects and environments.

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