Consider the standard inner product in the domain [-1,1]. Let f (x) : tan (a/4), g(x) = x + cos (a), h(x) = x?. %3D Which of the following are true: (1) f(x) and g(x) are orthogonal. (2) f(x) and h(x) are orthogonal. (3) g(x) and h(x) are orthogonal. O (1) only O (2) only O (3) only O (1) and (2) only O (1) and (3) only (2) and (3) only (1), (2), and (3)

Consider the standard inner product in the domain [-1,1]. Let f (x) : tan (a/4), g(x) = x + cos (a), h(x) = x?. %3D Which of the following are true: (1) f(x) and g(x) are orthogonal. (2) f(x) and h(x) are orthogonal. (3) g(x) and h(x) are orthogonal. O (1) only O (2) only O (3) only O (1) and (2) only O (1) and (3) only (2) and (3) only (1), (2), and (3)

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

Consider the standard inner product in the domain [-1,1]. Let
f(z)
= tan (x/4), g (x)
= I + cos (r), h(x)
= x?.
Which of the following are true:
(1) f(x) and g(x) are orthogonal.
(2) f(x) and h(x) are orthogonal.
(3) g(x) and h(x) are orthogonal.
O (1) only
O (2) only
O (3) only
O (1) and (2) only
O (1) and (3) only
(2) and (3) only
(1), (2), and (3)

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