(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +₂v for u=(8,0,-8) and v=(8,3,16) in R³ to find (i) (u, v) (ii) |u| (iii) unit vector in the direction of v.
(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +₂v for u=(8,0,-8) and v=(8,3,16) in R³ to find (i) (u, v) (ii) |u| (iii) unit vector in the direction of v.
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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answer 1,2,3 show proper workinhg
Transcribed Image Text:(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +µv² for u =(8,0,-8) and v=(8,3,16) in R³ to
find
(i) (u, v)
(ii) u
(iii) unit vector in the direction of v.
(iv) d(u, v)
(v) angle between u and v.
(vi) proj,u
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