(a) Consider the following matrices: (-2 4 5 -1 4 -5 (4 3 1 3 -3 1 0 4 -1 3 5 2 1 A = ‚B = and C = 3 -1 2 5 4 2 3 3 Determine (3B – 2A)C™. Consider the vectors ū = }i - 5j + 3k, ở = i – 4j – 4k and (b) w = 5i – j– 3k.Show that ū x (ỡ + w) = (ū × ī) + (ū x w). %3D
(a) Consider the following matrices: (-2 4 5 -1 4 -5 (4 3 1 3 -3 1 0 4 -1 3 5 2 1 A = ‚B = and C = 3 -1 2 5 4 2 3 3 Determine (3B – 2A)C™. Consider the vectors ū = }i - 5j + 3k, ở = i – 4j – 4k and (b) w = 5i – j– 3k.Show that ū x (ỡ + w) = (ū × ī) + (ū x w). %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(a)
Consider the following matrices:
1
0 4
-2 4
2
4 3
1
-1
3 5
A =
B =
1 3 -3
and C =
3
5 -1
-1 2
5
4 -5
5 4
3 3
Determine (3B – 2A)C™.
|
(b)
w = 5i – j– 3k.Show that ū x (T + w) = (ū × t) + (ū × w).
Consider the vectors ū = }i – 5j + 3k, ở =i – 4j – 4k and
-
(ū x ū) + (ũ × ū).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3702254c-4a7b-44d2-9c66-70d7bfaf3f8a%2F112743ed-df9c-4577-a8e8-f23a27819002%2Fohesld8_processed.png&w=3840&q=75)
Transcribed Image Text:(a)
Consider the following matrices:
1
0 4
-2 4
2
4 3
1
-1
3 5
A =
B =
1 3 -3
and C =
3
5 -1
-1 2
5
4 -5
5 4
3 3
Determine (3B – 2A)C™.
|
(b)
w = 5i – j– 3k.Show that ū x (T + w) = (ū × t) + (ū × w).
Consider the vectors ū = }i – 5j + 3k, ở =i – 4j – 4k and
-
(ū x ū) + (ũ × ū).
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