Show that the unit binormal vector makes a constant angle

Assignment Help Mathematics
Reference no: EM131004015

Consider the helix with arc-length parametrization

r(s) = αcos(αs)i + αsin(αs)j + αbsk, α - (a2 + b2)-1/2.

Show that the unit binormal vector makes a constant angle with the axis of the cylinder on which the helix lies.

Reference no: EM131004015

Questions Cloud

Discuss how your ethics and values have changed over time : Discuss the values, ethics, and morals of your childhood and teenage years, as well as your current values, ethics, and morals - discuss how your ethics and values have changed over time. What events precipitated these changes?
General overview of the plan you choose : In a 2-3 page paper, give a general overview of the plan you choose for this assignment. Consider each of the 10 components and describe how the company has included this component
What is the value of net domestic product : Given the following annual information about a hypothetical country, answer questions a through d. What is the value of GDP? What is the value of net domestic product?
Summarizing the meeting and discussing important concepts : Write a two-part paper of 750-1,000 words summarizing the meeting and discussing important concepts presented in the meeting
Show that the unit binormal vector makes a constant angle : Consider the helix with arc-length parametrization r(s) = αcos(αs)i + αsin(αs)j + αbsk, α - (a2 + b2)-1/2. Show that the unit binormal vector makes a constant angle with the axis of the cylinder on which the helix lies.
Multiple choice test from spring 2002 : The annual income for 200 recently graduated business graduates is summarised in the frequency distribution which follows.
What is gross about gross domestic product : (Consumer Price Index) One form of the CPI that has been advocated by lobbying groups is a "CPI for the elderly." The Bureau of Labor Statistics currently produces onlyindexes for "all urban households" and "urban wage earn- ers and clerical worke..
What are the instructional implications of learning styles : What are the instructional implications of learning styles and what are the research difficulties? What do you think is your learning style
Find the resolution of an analogue-to-digital converter : Find the change in resistance of an electrical resistance strain gauge with a gauge factor of 2.0 and a resistance of 100 Ω when subject to a strain of 0.001.

Reviews

Write a Review

Mathematics Questions & Answers

  Find the area of the entire roadway

A road is 330 feet long. The area of each intersection is 576 square feet. Find the area of the entire roadway, including both intersections.

  What dimensions will give the largest printed area

A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?

  Which of the statements is true regarding the f-distribution

Which of the following statements is true regarding the F - distribution?

  Use the empirical rule to find what two values

Use the Empirical Rule to find what two values 68% of the data will fall between for a data set

  The graph of cosecant function

Sketching the graph of Cosecant function and identifying its asymptotes

  What time period will the projectile be above

a projectile is fired straight up with an initial velocity of 80 feet per second. Its height in feet after t seconds is s = -16t^2 + 80t. During what time period will the projectile be above 96 feet?

  How many rectangles can sam make

Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.

  Answer or make comments on your classmates answers that was

answer or make comments on your classmates answers. that was good or any variation does not count...give an

  Compare the descriptive statistics you calculated

Compare the descriptive statistics you calculated to the population statisticsreported. Were there differences? Why or why not? Do you think that the sample you picked was representative of the population? Explain your response

  How fast is the angle between the ladder and the ground

ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall? Eva..

  Compute amount of final price adjustment because of

calculate the amount of the final price adjustment because of defective pricing. labor was overpriced by 15000.

  Compute the surface area of cube

The formula A = 6s^2 will calculate the surface area of cube. Suppose you have a cube that has a surface are of 216 in ^2. What is the length of each side?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd