We investigate the binormal vector further. Follow steps (a)(c) to prove that there is a number
Question:
We investigate the binormal vector further.
Follow steps (a)–(c) to prove that there is a number τ called the torsion such that
Transcribed Image Text:
dB ds = -TN dB dN (a) Show that = TX and conclude that dB/ds is orthogonal to T. ds ds (b) Differentiate B. B = 1 with respect to s to show that dB/ds is orthogonal to B. (c) Conclude that dB/ds is a multiple of N.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a Using the Product Rule for cross product we have dB d TXN N XNTX ds ds dB ds ...View the full answer
Answered By
Salmon ouma
I am a graduate of Maseno University, I graduated with a second class honors upper division in Business administration. I have assisted many students with their academic work during my years of tutoring. That has helped me build my experience as an academic writer. I am happy to tell you that many students have benefited from my work as a writer since my work is perfect, precise, and always submitted in due time. I am able to work under very minimal or no supervision at all and be able to beat deadlines.
I have high knowledge of essay writing skills. I am also well conversant with formatting styles such as Harvard, APA, MLA, and Chicago. All that combined with my knowledge in methods of data analysis such as regression analysis, hypothesis analysis, inductive approach, and deductive approach have enabled me to assist several college and university students across the world with their academic work such as essays, thesis writing, term paper, research project, and dissertation. I have managed to help students get their work done in good time due to my dedication to writing.
5.00+
4+ Reviews
16+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
There are four basic operations on red-black trees that perform structural modifications: node insertions, node deletions, rotations, and color modifications. We have seen that RB-INSERT and...
-
We investigate the binormal vector further. Let r(t) = (x(t), y(t), 0). Assuming that T(t) N(t) is nonzero, there are two possibilities for the vector B(t). What are they? Explain.
-
We investigate the binormal vector further. Show that if C is contained in a plane P, then B is a unit vector normal to P. Conclude that = 0 for a plane curve.
-
B sold shares of a qualified small business corporation (QSBC) in the current year realizing a capital gain of $640,000 and shares of a public company realizing a loss of $40,000. B has a net capital...
-
The stockholders equity accounts of Lawrence Company have the following balances on December 31, 2010. Common stock, $10 par, 200,000 shares issued and outstanding............$2,000,000 Paid-in...
-
How do firms use cooperative strategies to innovate and to have access to innovative capabilities? Discuss.
-
What is ethnicity, and what role does it play in conflict?
-
Brooks Enterprises has never paid a dividend. Free cash flow is projected to be $80,000 and $100,000 for the next 2 years, respectively, and after the second year it is expected to grow at a constant...
-
Collaboration with others is important because completing complex work depends on key relationships between functional areas in organizations and cross-functional pollination of ideas. Collaborative...
-
Let r(s) be an arc length parametrization of a closed curve C of length L. We call C an oval if d/ds > 0 (see Exercise 71). Observe that N points to the outside of C. For k > 0, the curve C 1 defined...
-
We investigate the binormal vector further. Torsion means twisting. Is this an appropriate name for ? Explain by interpreting geometrically.
-
Experimentation with a new rocket nozzle has led to two slightly different designs. The following data summaries resulted from testing these two designs. Determine the 99% confidence interval for the...
-
If beginning inventory is HK\($600,000,\) cost of goods purchased is HK\($3,800,000,\) and ending inventory is HK\($500,000,\) cost of goods sold is: a. HK\($3,900,000\). b. HK\($3,700,000\). c....
-
Define and distinguish between a marriage that is void ab initio and a voidable marriage, and give an example of each.
-
True Or False The greatest number of errors made by litigators are administrative.
-
Write the difference between shaper and slotter machines?
-
True Or False With the growing use of the Internet, defamation is more prevalent than ever.
-
Thermo Corporation was organized in 2013 and began operations at the beginning of 2014. The company is involved in energy development. The following costs were incurred prior to the start of...
-
According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...
-
Find the value of each determinant. 8 -3 4 2.
-
Find the value of each determinant. -3 -1 4 2.
-
Find the value of each determinant. -4 2 -5 3
-
K Austin Auto Parts (AAP) has a Seat Manufacturing Department that uses ABC. AAP's activity cost allocation rates include the following: (Click on the icon to view ABC system data.) Suppose Ford has...
-
How much does a $10 investment with an annual interest rate of 6% pay back after 3 years, using continuous compounding of interest? What is the profit to the investor if the investment is paid back...
-
The company had the following partial list of ending account balances Expenses $125,000 Liabilities 225.000 Revenue 350.000 Retained earnings 200.000 Dividends 50.000 Assets 700.000 Calculate total...
Study smarter with the SolutionInn App