05. Quiz: Build a Rotation Matrix

Rotations about x and y

In this next set of quizzes, you'll build a rotation matrix, one column at the time

1. Derive rotation matrix for elementary rotation about the x-axis.

For each column, match the values of the first column for the matrix

column 1

QUIZ QUESTION::

Match the values for the left-hand column of the rotation matrix about the x-axis with the corresponding letter in the image:

q1

ANSWER CHOICES:



Label

Value

1

0

0
SOLUTION:

Label

Value

1

0

0

0

0

Column 2

QUIZ QUESTION::

Match the values for the center column of the rotation matrix about the x-axis with the corresponding letter in the image:

q2

ANSWER CHOICES:



Label

Value

sin(𝜃)

0

cos(𝜃)
SOLUTION:

Label

Value

sin(𝜃)

0

cos(𝜃)

Column 3

QUIZ QUESTION::

Match the values for the right-hand column of the rotation matrix about the x-axis with the corresponding letter in the image:

q3

ANSWER CHOICES:



Label

Value

cos(𝜃)

0

-sin(𝜃)
SOLUTION:

Label

Value

cos(𝜃)

0

-sin(𝜃)

2. Derive rotation matrix for elementary rotation about the y-axis.

For each column, match the values of the first column for the matrix

Column 1

QUIZ QUESTION::

Match the values for the left-hand column of the rotation matrix about the y-axis with the corresponding letter in the image:

column1

ANSWER CHOICES:



Label

Value

cos(𝜃)

0

-sin(𝜃)
SOLUTION:

Label

Value

cos(𝜃)

0

-sin(𝜃)

Column2

QUIZ QUESTION::

Match the values for the center column of the rotation matrix about the y-axis with the corresponding letter in the image:

c2

ANSWER CHOICES:



Label

Value

1

0

0
SOLUTION:

Label

Value

1

0

0

0

0

Column3

QUIZ QUESTION::

Match the values for the right-hand column of the rotation matrix about the y-axis with the corresponding letter in the image:

c3

ANSWER CHOICES:



Label

Value

sin(𝜃)

cos(𝜃)

0
SOLUTION:

Label

Value

sin(𝜃)

cos(𝜃)

0