Axes & Math Degrees: 3 Axes at 90deg; What if 60deg?

In summary, having three axes at 90 degrees allows for a three-dimensional coordinate system, while the angle between two axes can be determined using trigonometric functions or coordinates. One axis at 60 degrees can represent a different plane or direction, and the orientation of the axes can affect mathematical calculations. The axes at 90 degrees can be rotated, but this may affect the accuracy of calculations.
  • #1
vaishakh
334
0
there are three axes when the angle made between each angle is 90deg. what would be the situation if this became 60deg. i mean how many axes would be there
 
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  • #2
I think axes is a bad term. At 60 degrees, the resulting coordinates wouldn't be independent.
I think the answer is 6
 
Last edited:
  • #3
okay, How many lines can be drawn such taht the angle between each line is 60deg
 

1. What is the purpose of having three axes at 90 degrees?

The purpose of having three axes at 90 degrees is to create a three-dimensional coordinate system. This allows for more accurate and precise measurements and calculations in space.

2. How do you determine the angle between two axes?

The angle between two axes can be determined using trigonometric functions such as sine, cosine, and tangent. The angle can also be calculated using the coordinates of points on the axes.

3. What is the significance of having one axis at 60 degrees?

Having one axis at 60 degrees can represent a different plane or direction in a three-dimensional space. It can also be used to measure angles and distances in a specific direction.

4. How does the orientation of the axes affect mathematical calculations?

The orientation of the axes can affect mathematical calculations by changing the direction and magnitude of vectors and coordinates. It can also affect the interpretation of data and results in a given coordinate system.

5. Can the axes at 90 degrees be rotated to a different angle?

Yes, the axes at 90 degrees can be rotated to a different angle. This can be done by using rotation matrices or applying trigonometric functions to the coordinates of points on the axes. However, this will change the orientation and direction of the axes and may affect the accuracy of calculations.

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