Determine the matrix representation of each of the following composite transformations. A pitch of 90^(circ) followed by a yaw of 90^(circ)

glasskerfu 2020-11-30 Answered

Determine the matrix representation of each of the following composite transformations. A pitch of 90 followed by a yaw of 90

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Theodore Schwartz
Answered 2020-12-01 Author has 99 answers

If L is pitch transformation with the angle of theta, the matrix representation of L is given by,
p=[(cosθ,sinθ,o),(sinθ,cosθ,0),(0,0,1)]
If L is the pitch transformation with the angle of rotation phi, the matrix representation of L is given by
[(cosϕ,0,sinϕ),(0,1,0),(sinϕ,0,cosϕ)]
py=[((cos90),(sin90),0),((sin90),(cos90),0),(0,0,1)][((cos90),0,(sin90)),(0,1,0),((sin90v),0,(cos90))]
=[(0,1,0),(1,0,0),(0,0,1)][(0,0,1),(0,1,0),(1,0,0)]
=[(0,1,0),(0,0,1),(1,0,0)]

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-05-13

How do you measure the area of a circle ?

asked 2020-11-22
Answer true or false to each of the following statements and explain your answers.
a. In using the method of transformations, we should only transform the predictor variable to straighten a scatterplot.
b. In using the method of transformations, a transformation of the predictor variable will change the conditional distribution of the response variable.
c. It is not always possible to fnd a power transformation of the response variable or the predictor variable (or both) that will straighten the scatterplot.
asked 2022-07-14
Probability X is odd in a geometric distribution
Let X be a Geometric distribution with parameter p = 1 10 .
asked 2021-11-03
Given:
Mln,ML=13,MN=6,NL=10,RQS,RQ=39,RS=18,SQ=30
Find the scale factor from Mln to RQS.
asked 2020-10-27

Which of the following is the correct equation used to solve for the measure of each angle? OA.
mAmBmC=180 O B. mA+mBmC=180 O c. mAmB+mC=180 O D. mA+mB+mC=180
The measure of analeAis Click to select your answer(s). Save for Later 0.
(i) 170
(1) 7
(1) 5
(1) 5
(1) 5
(1) 5

asked 2022-07-16
Prove the formula for the foci of an ellipse
I have summarized the question below:
If the vertices of an ellipse centered at the origin are (a,0),(-a,0),(0,b), and (0,-b), and a > b, prove that for foci at ( ± c , 0 ), c 2 = a 2 b 2 .
I am guessing that I have to use the distance formula, which is d = ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 .
asked 2021-08-08
These two triangles are similar by AA similarity. The ratio of corresponding altitudes is proportion to the ratio of corresponding sides. Find the value of x.

AB=15, PQ=7.5
AC=17, PR=x

New questions