9. If r is the position vector and r is its magnitude, verify that if a is a constant vector (a) ▼ } - --- (c) V(ar) a = 1 df (b) Vf(r) Vector and Tensor Notation 10. Write out in full in Cartesian coordinates (a) pv--IV-pvvl - Np - [V-7] - pg (b) T = −μ{√v + (Vv)* − (V • v)8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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9. If r is the position vector and r is its magnitude, verify that
(a) V } –
(c) V(ar) a if a is a constant vector
(b) V((r)
dr
T
pendix A Vector and Tensor Notation
10. Write out in full in Cartesian coordinates
(a) [pv − −[V · pvv] - Vp – [V · 7] - Pg
2
31
(b) τ = − µ|Vv – (Vv) – Ŝ(V - v)6
MEMBA
parane
B
Transcribed Image Text:9. If r is the position vector and r is its magnitude, verify that (a) V } – (c) V(ar) a if a is a constant vector (b) V((r) dr T pendix A Vector and Tensor Notation 10. Write out in full in Cartesian coordinates (a) [pv − −[V · pvv] - Vp – [V · 7] - Pg 2 31 (b) τ = − µ|Vv – (Vv) – Ŝ(V - v)6 MEMBA parane B
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