9. Resolve the vector V =i+ j+ 2k into two vectors P and Q satisfying the following conditions: (a) F is parallel to Ư = 4ï+2j– E (b) 7 is perpendicular to U = 4i+2j-k and (e) V =P +ở. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve Q. 9 and Q 10

9. Resolve the ector V =i+ j+ 2k into two vectors P and Q satisfying the following conditions:
(a) P is parallel to Ừ = 4ï+2j– k
(b) Ở is perpendicular to U = 4i+ 2j-k and
(c) ▼ =P +Q.
%3D
3
10. Determine whet her
spans M2. If yes, construct the set of basis
-1
from the spanning set.
Transcribed Image Text:9. Resolve the ector V =i+ j+ 2k into two vectors P and Q satisfying the following conditions: (a) P is parallel to Ừ = 4ï+2j– k (b) Ở is perpendicular to U = 4i+ 2j-k and (c) ▼ =P +Q. %3D 3 10. Determine whet her spans M2. If yes, construct the set of basis -1 from the spanning set.
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