a) Show that if u, v, and w are differentiable vector functions of t, then d du V X w +u - dt dv dw (u ·v × w) dt X w + u•v x - dt dt b) Show that
a) Show that if u, v, and w are differentiable vector functions of t, then d du V X w +u - dt dv dw (u ·v × w) dt X w + u•v x - dt dt b) Show that
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![a) Show that if u, v, and w are differentiable vector functions of t, then
d
du
dv
dw
(u·v x w)
dt
v x w + u. xw+u•vx·
dt
dt
dt
b) Show that
dr d'r
dt * dt?
(dr d³r\
= r:
dt
d
dt
dt3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12785b60-074a-49a5-be4c-4d137d37cef3%2Fa6ec99e3-14fe-4ec1-b62f-49b92f8b5b51%2F7x8ebsn_processed.png&w=3840&q=75)
Transcribed Image Text:a) Show that if u, v, and w are differentiable vector functions of t, then
d
du
dv
dw
(u·v x w)
dt
v x w + u. xw+u•vx·
dt
dt
dt
b) Show that
dr d'r
dt * dt?
(dr d³r\
= r:
dt
d
dt
dt3
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