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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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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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