Non-Uniform/local Scaling: Want to scale our cube by different values for each direction? 000 0 e 00 00j0 000 1 Where a scales the x coordinate, e scales the y coordinate, and j scales the z coordinate. Use Ts* = 8. Show that for a = : 1/2, e = 1/3, and j = = 1 scales our cube down to the unit cube by multi- [1/2 0 0 0 0 2 2 0 0 2 2 0 ---- 0 1/3 0 0 0 0 3 3 0 0 3 3 0 0 1 0 1 1 1 1 0000 0 0 0 1 1 1 1 1 1 1 1 1 plying T, *M = =

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Non-Uniform/local Scaling:
Want to scale our cube by different values for each direction?
a
0 0 0
e
00
ojo
Use Ts*= =
0
0 00
Where a scales the x coordinate, e scales the y coordinate, and j scales the z coordinate.
8. Show that for a = 1/2, e = 1/3, and j
=
1 scales our cube down to the unit cube by multi-
0 0 TO 2 2 0 0 2 201
[1/2
0
0
1/3 0 0
300 3 3
0 0 3
1
0
10
1
1
0
0 1
1 1 1 1
plying T, *.M
0
1 0000
1 1 1
1
Transcribed Image Text:Non-Uniform/local Scaling: Want to scale our cube by different values for each direction? a 0 0 0 e 00 ojo Use Ts*= = 0 0 00 Where a scales the x coordinate, e scales the y coordinate, and j scales the z coordinate. 8. Show that for a = 1/2, e = 1/3, and j = 1 scales our cube down to the unit cube by multi- 0 0 TO 2 2 0 0 2 201 [1/2 0 0 1/3 0 0 300 3 3 0 0 3 1 0 10 1 1 0 0 1 1 1 1 1 plying T, *.M 0 1 0000 1 1 1 1
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