1 ---0--0 V1 = and V₂ = 2 2 B 1 1 = 1 1 10 1 10 x 3 Let x = 8. Let C = BTB Define the inner product (x, y) c = xªCy. Let ||.||c and dc(...) be the norm and distance derived from the inner product (...)c; respectively. i. Compute the Euclidean distance between V₁ and v2; ii. Compute the angle between V₁ and v2, with respect to the Euclidean inner product. iii. Compute ||v₁||c and ||V2||c; iv. Compute de(V₁, V2); v. Compute the angle between V₁ and v2 with respect to the (...) c.

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
1
---0--0
V1 =
and V₂ = 2
2
B
1 1
=
1 1
10 1
10 x
3
Let x = 8.
Let C = BTB
Define the inner product (x, y) c = xªCy. Let ||.||c and dc(...)
be the norm and distance derived from the inner product (...)c;
respectively.
i. Compute the Euclidean distance between V₁ and v2;
ii. Compute the angle between V₁ and v2, with respect to the
Euclidean inner product.
iii. Compute ||v₁||c and ||V2||c;
iv. Compute de(V₁, V2);
v. Compute the angle between V₁ and v2 with respect to the
(...) c.
Transcribed Image Text:1 ---0--0 V1 = and V₂ = 2 2 B 1 1 = 1 1 10 1 10 x 3 Let x = 8. Let C = BTB Define the inner product (x, y) c = xªCy. Let ||.||c and dc(...) be the norm and distance derived from the inner product (...)c; respectively. i. Compute the Euclidean distance between V₁ and v2; ii. Compute the angle between V₁ and v2, with respect to the Euclidean inner product. iii. Compute ||v₁||c and ||V2||c; iv. Compute de(V₁, V2); v. Compute the angle between V₁ and v2 with respect to the (...) c.
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