Determine the angle between the following vectors a) u = (1, 1) & v = (1 – V3, v3+1) b) u = (a, b) & v = (av3 – b, a + bv3); (a,b) # (0,0) %3D c) u = (2/2, 1, 1) & v = (v2, 3, 3)

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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Determine the angle between the following vectors
а) и %3D (1,1) & v %3 (1— V3, /3 + 1)
b) и %3D (а, b) & v%3 (av3 — b, а + bV3); (а,b) # (0, 0)
с) и %3 (2V2, 1, 1) & v %3D (V2,3, 3)
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Transcribed Image Text:Determine the angle between the following vectors а) и %3D (1,1) & v %3 (1— V3, /3 + 1) b) и %3D (а, b) & v%3 (av3 — b, а + bV3); (а,b) # (0, 0) с) и %3 (2V2, 1, 1) & v %3D (V2,3, 3) -
Expert Solution
Step 1

The dot product of two vector a and b is given by the equation ;

a·b=|a||b| cos θ

where θ is the angle between them.

 

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