16th Edition

ISBN: 9781938168079

Author: Gilbert Strang, Edwin Jed Herman

Publisher: OpenStax

Concept explainers

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magn…

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Textbook Question

Chapter 3.2, Problem 97E

Find the unit tangent vector T ( t ) for the following vector-valued functions.

97. r ( t ) = 〈 t , 1 t 〉 . The graph is shown here:

Chapter 3.2, Problem 97E, Find the unit tangent vector T(t) for the following vector-valued functions. 97. r(t)=t,1t . The

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Chapter 3.2, Problem 96E

Chapter 3.2, Problem 98E

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Chapter 3 Solutions

Calculus Volume 3

Ch. 3.1 - Give the component functions x=f(t) and y=g(t) for...Ch. 3.1 - Given r(t)=3secti+2tantj , find the following...Ch. 3.1 - Sketch the curve of the vector-valued function...Ch. 3.1 - Evaluate limt0eti+sinttj+etk .Ch. 3.1 - Given the vector-valued function r(t)=cost,sint ,...Ch. 3.1 - Given the vector-valued function r(t)=t,t2+1 ,...Ch. 3.1 - Let r(t)=eti+sintj+lntk . Find the following...Ch. 3.1 - Find the limit of the following vector-valued...Ch. 3.1 - Find the limit of the following vector-valued...Ch. 3.1 - Find the limit of the following vector-valued...

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