Q. 40 Evaluate and simplify the indica... [FREE SOLUTION]

Chapter 11: Q. 40 (page 860)

Evaluate and simplify the indicated quantities in Exercises 35鈥�41.
$((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j)$

Short Answer

Expert verified

The simplification of $((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j)$ is $(- t \sin t, t \cos t, \sin^{2} t - \cos^{2} t)$ .

Step by step solution

Step 1. Given Information.

The quantities:

$((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j)$

Step 2. Do the cross product.

By Cross product,

$((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j) = ((\cos t) (0) - (\sin t) t, (\cos t) t - (\sin t) 0, (\sin t) (\sin t) - (\cos t) (\cos t)) = (- t \sin t, t \cos t, \sin^{2} t - \cos^{2} t)$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Evaluate and simplify the indicated quantities in Exercises 35鈥�41.
$((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Do the cross product.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

91影视

Evaluate and simplify the indicated quantities in Exercises 35鈥�41.((sint)i+(cost)j+tk)脳((cost)i+(sint)j)

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Do the cross product.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Evaluate and simplify the indicated quantities in Exercises 35鈥�41.
$((\sin t) i + (\cos t) j + t k) 脳 ((\cos t) i + (\sin t) j)$