Show that unit binormal vector B = T N has the property that dB/ds is perpendicular

Question:

Show that unit binormal vector B = T × N has the property that dB/ds is perpendicular to T.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 11:03 AM

See More Questions

Show that the unit binormal vector B = T N has the property that dB/ds is perpendicular to B.
The transition matrix in Example 5 has the property that both its rows and its columns all add up to I. In general. a matrix A is said to be doubly stochastic if both A and AT are stochastic. Let A...
Show that the vector n = al t bj is perpendicular to the line with equation ax + by = c. Let P1(x1, y1) and P2(x2, y2) be two points on the line and show that n = 0.
How can we measure a security's contribution to the risk of the market portfolio?
Helen Morgan, CFA, has been asked by Carroll to determine the potential valuation for Sundanci using the dividend discount model. Morgan anticipates that Sundanci's earnings and dividends will grow...
Suppose you are a farmer whose land produces 50 units of food this year and is expected to produce another 50 units of food next year. (Assume that there is no one else in the world to trade with.)...
State the (i) applications (ii) Advantages (iii) disadvantages of (a) Rope drive (b) Chain drive (c) Gear drive.
Refer to the data for Auto Lavage in Exercise 99. The actual operating results for October appear below: In Exercise 99, Auto Lavage is a Canadian company that owns and operates a large automatic...
What is the potential difference between two parallel plates separated by a distance of 0 . 0 2 5 m if the electric field strength between the plates is E = 4 . 0 0 x 1 0 4 V / m ?
As of January 1, 2017, the trial balance for Haven Hospital was as follows: During the fiscal year ended December 31, 2017, the following transactions occurred: 1. Patient service revenue amounted to...
Draw the graph of x = 4 cos t, y = 3 sin(t + 0.5), 0 t 2 2. Estimate its maximum and minimum curvature by looking at the graph (curvature) is the reciprocal of the radius of curvature). Then use...
Shot that for a plane curve the torsion is (s) = 0.
Discoveries of new drugs have led to significant improvements in health and longevity. None of this would have been possible if pharmaceutical companies hadn't had the incentive to carry out the...
Morris Corporation has the following information on its balance sheets: Cash = $40, accounts receivable = $30, inventories= $100, net fixed assets 5 $500, accounts payable = $20, accruals= $10,...
Chunhua Zhu, a 38-year-old widowed mother of three children (ages 12, 10, and 4), works as a product analyst for Nestl Purina PetCare Company. Although shes covered by a group life insurance policy...
Show that B c = bP c /RT c = 0.07780 for the Peng-Robinson equation by setting up the cubic equation for B c analogous to the van der Waals equation and solving analytically as described in Appendix...
Greg and Tanya Ridpath have two children, ages 6 years and 5 months. Their younger child, Ray, was born with a congenital heart defect that will require several major surgeries in the next few years...
Cathey Corporation currently has sales of $1,000, which are expected to grow by 10% from Year 0 to Year 1 and by 4% from Year 1 to Year 2. The company currently has an operating profitability (OP)...
For the following exercises, find the x- and y-intercepts of the graphs of each function. f(x) = 3|x 2| 1
Cobb Manufacturing Company uses a process cost system and average costing. The following production data is for the month of June 2011. Production Costs Work in process, beginning of the month:...
Student 3 comes to class with probability 1.0 if both the others come and with probability 1/2 if only one comes. Students 1 and 2 ignore each other. A small class has only three students. Each comes...
The probability of a switch from AT to GC is 0.002, while a switch from GC to AT occurs with probability 0.001. In DNA, there are four nucleotides: A, T, C, and G. A pairs with T, and C pairs with G....
The probability of a switch from AT to GC is 0.004, while a switch from GC to AT occurs with probability 0.003. In DNA, there are four nucleotides: A, T, C, and G. A pairs with T, and C pairs with G....
Suppose the pressure in the esophagus is - 1.95 mm Hg while that in the stomach is + 18.5 mm Hg. To what height, in centimeters, could stomach fluid rise in the esophagus, assuming it has a density...
When light of wavelength190nm falls on acesiumsurface, electrons having a maximum kinetic energy of 4.39eV are emitted. Find values for the following. (a) the work function of cesium eV? (b) the...
A soft tennis ball is dropped onto a hard floor from a height of 1.55 m and rebounds to a height of 1.12m. (Assume that the positive direction is upward.) (a) Calculate its velocity (in m/s) just...

Show that unit binormal vector B = T N has the property that dB/ds is perpendicular

Question:

Step by Step Answer:

dB ds d ds T N dT ds N ...View the full answer

Calculus

Students also viewed these Calculus questions