ector function r(t) in 3-dimensions. Which of the following ar ue about these vectors at every value of t? ou must select ALL the true statements, and only those stater edit.) O r"(t) and N(t) are always parallel O T'(t) and N(t) are always parallel r"(t) and T(t) are always parallel T(t) and N(t) are always orthogonal O r'(t) and T(t) are always parallel

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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Let T(t) be the unit tangent and N(t) be the principal unit normal for a
vector function r(t) in 3-dimensions. Which of the following are ALWAYS
true about these vectors at every value of t?
(You must select ALL the true statements, and only those statements, for
credit.)
r"(t) and N(t) are always parallel
T'(t) and N(t) are always parallel
r"(t) and T(t) are always parallel
T(t) and N(t) are always orthogonal
r'(t) and T(t) are always parallel
Transcribed Image Text:Let T(t) be the unit tangent and N(t) be the principal unit normal for a vector function r(t) in 3-dimensions. Which of the following are ALWAYS true about these vectors at every value of t? (You must select ALL the true statements, and only those statements, for credit.) r"(t) and N(t) are always parallel T'(t) and N(t) are always parallel r"(t) and T(t) are always parallel T(t) and N(t) are always orthogonal r'(t) and T(t) are always parallel
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