field. 9. Ev If R² = x² + y² + 2², R = xi+yj + zk, and A is a constant vector field, find (f) RV(ARA) . (a) V (R²A) (g) V (A XR) (b) VX (R²A) (h) VX (A XR) V²(RR) (i) (c) R-V(R²A) (d) V(A-R)4 (e) V (RA)

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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Parts a, b, g, h, i
9. Evaluate A VR +
nstant vector field.
10. If R² = x² + y² + z², R = xi + yj + zk, and A is a constant vector field, find
(a) V (R²A)
(b) VX (R²A)
(c) R-V(R²A)
(d) V(A-R)4
•
(e) V (RA)
(f) R V(A RA)
(g) (A X R)
(h) VX (A XR)
(i)
V²(RR)
•
Transcribed Image Text:9. Evaluate A VR + nstant vector field. 10. If R² = x² + y² + z², R = xi + yj + zk, and A is a constant vector field, find (a) V (R²A) (b) VX (R²A) (c) R-V(R²A) (d) V(A-R)4 • (e) V (RA) (f) R V(A RA) (g) (A X R) (h) VX (A XR) (i) V²(RR) •
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