find u · v, u · u, and v · v. (a) u = (3,1,4), v = (2,2,−4) (b) u = (1,1,4,6), v = (2,−2,3,−2)
find u · v, u · u, and v · v. (a) u = (3,1,4), v = (2,2,−4) (b) u = (1,1,4,6), v = (2,−2,3,−2)
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
find u · v, u · u, and v · v.
(a) u = (3,1,4), v = (2,2,−4)
(b) u = (1,1,4,6), v = (2,−2,3,−2)
Expert Solution
Step 1
We have two vectors u and v we need to find the values for u.v , u.u and v.v
Since for any two vectors
a = (x1 , y1 , z1 ) and b = (x2 , y2 , z2 )
a.b = x1x2 + y1y2 + z1z2
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