Rotating Vectors Homework: Fill in the Blanks

In summary, The conversation is about a problem involving rotating vectors and the confusion over the blank spaces in the answer. The blank spaces are actually zeroes and cannot be seen because they are the same color as the background. The person providing the answer is colorblind and can see them. It is also mentioned that the matrix used in the answer is not a pure rotation matrix but a combination of reflection and rotation due to its determinant being -1 instead of 1.
  • #1
g.lemaitre
267
2

Homework Statement


This is an answer to a problem involving rotating vectors

Screenshot2012-07-18at42030AM.png


I can't figure out what the blank spaces mean. Are there 0's there? Are there 1's? Help.
 
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  • #2
They are zeroes.
 
  • #3
good, thanks.
 
  • #4
g.lemaitre said:

Homework Statement


This is an answer to a problem involving rotating vectors

Screenshot2012-07-18at42030AM.png


I can't figure out what the blank spaces mean. Are there 0's there? Are there 1's? Help.

clamtrox said:
They are zeroes.

And the reason you can't see them is they are the same tannish-brown color as the background. I can see them because I'm colorblind. :smile:
 
  • #5
LCKurtz said:
And the reason you can't see them is they are the same tannish-brown color as the background. I can see them because I'm colorblind. :smile:

:)

You can easily figure this out: all rotation matrices have determinant of 1 (so they are what's called orthogonal matrices). In fact, you can see that this matrix has determinant of -1, so technically it's not a rotation but some combination of reflection and rotation.
 

FAQ: Rotating Vectors Homework: Fill in the Blanks

What is the purpose of rotating vectors in this homework assignment?

The purpose of rotating vectors in this homework assignment is to practice using mathematical equations to manipulate and transform vectors in a 2D or 3D space. This skill is important in various fields such as computer graphics, physics, and engineering.

How do I fill in the blanks for this homework assignment?

To fill in the blanks for this homework assignment, you will need to use the given vector rotation formula and plug in the values for the given vectors and angle of rotation. Then, you can solve for the missing vector components by using basic algebraic operations.

Can I use a calculator to complete this homework?

Yes, you can use a calculator to complete this homework assignment. However, it is recommended to show your work and calculations to demonstrate your understanding of the concept.

Will I need to use any special software or programs for this homework?

No, you will not need to use any special software or programs for this homework assignment. You can use a basic calculator or pen and paper to complete the calculations.

What are some real-life applications of rotating vectors?

Rotating vectors have many real-life applications, such as in computer animation, robotics, and navigation systems. They are also used in physics to analyze the motion and forces on objects in rotation, and in engineering to design and optimize structures or machines that undergo rotational motion.

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