EBK CALCULUS

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Concept explainers

Vector Arithmetic

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.

Question

Chapter 14.4, Problem 56E

To determine

(a)

What does it mean for a space curve to have a constant unit tangent vector $\overset{\land}{T}$ ?

To determine

(b)

What does it mean for a space curve to have a constant normal vector $\overset{\land}{N}$ ?

To determine

(c)

What does it mean for a space curve to have a constant binomial vector $\overset{\land}{B}$ ?

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Chapter 14.4, Problem 55E

Chapter 14.4, Problem 57E

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Chapter 14 Solutions

EBK CALCULUS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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(a) What does it mean for a space curve to have a constant unit tangent vector T ∧ ?

Solution Summary: The author explains that if a space curve has constant unit tangent vector T, then it must be stringent line.

Concept explainers

(a)

What does it mean for a space curve to have a constant unit tangent vector $\overset{\land}{T}$ ?

(b)

What does it mean for a space curve to have a constant normal vector $\overset{\land}{N}$ ?

(c)

What does it mean for a space curve to have a constant binomial vector $\overset{\land}{B}$ ?

Want to see the full answer?

Chapter 14 Solutions

(a) What does it mean for a space curve to have a constant unit tangent vector T ∧ ?

Solution Summary: The author explains that if a space curve has constant unit tangent vector T, then it must be stringent line.

Concept explainers

(a) What does it mean for a space curve to have a constant unit tangent vector T∧?

(b) What does it mean for a space curve to have a constant normal vector N∧?

(c) What does it mean for a space curve to have a constant binomial vector B∧?

Want to see the full answer?

Chapter 14 Solutions

(a)

What does it mean for a space curve to have a constant unit tangent vector $\overset{\land}{T}$ ?

(b)

What does it mean for a space curve to have a constant normal vector $\overset{\land}{N}$ ?

(c)

What does it mean for a space curve to have a constant binomial vector $\overset{\land}{B}$ ?