Consider a vector a = N i=1 ₁a¡ê; expressed in an orthonormal basis. Which of the following statements are true? Negative marking applies. Select one or more: a. (aa) = ₁ ai N i=1 b. (ala) (a|a) = 0 N (a|a) = Σ₁-₁ ªjªz •j=1 (ala) = (aa) = g. (aa) = ○ d. e. f. = 1 N ₁a²/ N i=1 * ₁ ažai ₁|a₁|² N

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 55P
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Consider a vector a =
N
i=1
₁a¡ê; expressed
in an orthonormal basis. Which of the
following statements are true?
Negative marking applies.
Select one or more:
a. (aa) = ₁ ai
N
i=1
b.
(ala)
(a|a) = 0
N
(a|a) = Σ;₁a;ªz
•j=1
□ d.
e.
f.
=
(ala) =
(aa) =
g. (aa) =
1
N
₁a²/
N
i=1
*
₁ ažai
₁|a₁|²
N
Transcribed Image Text:Consider a vector a = N i=1 ₁a¡ê; expressed in an orthonormal basis. Which of the following statements are true? Negative marking applies. Select one or more: a. (aa) = ₁ ai N i=1 b. (ala) (a|a) = 0 N (a|a) = Σ;₁a;ªz •j=1 □ d. e. f. = (ala) = (aa) = g. (aa) = 1 N ₁a²/ N i=1 * ₁ ažai ₁|a₁|² N
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