1.
Write a matrix that will translate a triangular prism using the vector
.
A.
B.
C.
D.
Hint
2.
Which of the following is a dilation matrix?
A.
B.
C.
D.
Hint
3.
Given the coordinates of a rectangular prism, represent them as a vertex matrix:
A
(1, 5, 3),
B
(1, 5, -1),
C
(1, -3, -1),
D
(1, -3, 3),
E
(-4, 5, 3),
F
(-4, 5, -1),
G
(-4, -3, -1),
H
(-4, -3, 3)
A.
B.
C.
D.
Hint
4.
Write a matrix that will translate a rectangular prism (which will always have 8 vertices) using the vector
.
A.
B.
C.
D.
Hint
5.
Given what you know about matrix multiplication, make a conjecture about what kind of transformation in 3-dimensional space is represented by the matrix
.
A.
The transformation is a reflection over the
xz
-plane.
B.
The transformation is a dilation by a scale factor of -1.
C.
The transformation is a reflection over the
yz
-plane, followed by a transformation over the
xy
-plane.
D.
The transformation is a translation 1 unit along the
y
-axis.
Hint