Recall that two lines y = mx + b and y = nx + c are orthogonal
Question:
Recall that two lines y = mx + b and y = nx + c are orthogonal provided mn = -1 (the slopes are negative reciprocals of each other). Prove that the condition mn = -1 is equivalent to the orthogonality condition u • v = 0, where u points in the direction of one line and v points in the direction of the other line.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (12 reviews)
Let u be a directional vector for the line y mxb s...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
1. Determine which of the following are statements: (a) The universe is 1 billion years old. (b) What a beautiful morning! (c) Mathematics is an important part of our culture. (d) He is a gentleman...
-
1. The simplest mathematical model for relating two variables is the ________ equation in two variables y = mx + b. 2. For a line, the ratio of the change in y to the change in x is the ________ of...
-
Two curves are orthogonal to each other if their tangent lines are perpendicular at each point of intersection (recall that two lines are perpendicular to each other if their slopes are negative...
-
Identify and describe a time (that you would be comfortable sharing for the purposes of this assignment) when you faced a challenge in a friendship, like a betrayal or geographic distance.
-
Calculate the thermal conductivities for ceramics at porosities of 1%, 5%, 10%, 20%, and 30% k" = 0.7 W / m-K?
-
Write an HTML form that prompts the user to enter loan amount, interest rate, and number of years, as shown in Figure 37.28a. Clicking the Compute Loan Payment button invokes a servlet to compute and...
-
How many times can you define a function?
-
Matthias Medical manufactures hospital beds and other institutional furniture. The companys comparative balance sheet and income statement for 2012 and 2013 follow. Required Calculate the following...
-
3. Write a test program which has a static method that takes a shape argument and displays information about it (its radius, its area and volume, if applicable). Writing this to display information...
-
Forth Company owned 85,000 of Brown Companys 100,000 shares of common stock until January 1, 20X2, at which time it sold 70,000 of the shares to a group of seven investors, each of whom purchased...
-
For fixed values of a, b, c, and d, the value of proj (ka, kb) (c, d) is constant for all nonzero values of k, for (a, b) (0, 0).
-
Let v = (a, b, c) and let , , and be the angles between v and the positive x-axis, the positive y-axis, and the positive z-axis, respectively (see figure). a. Prove that cos 2 + cos 2 + cos 2 =...
-
Danville Company specializes in the repair of music equipment and is owned and operated by Harry Nagel. On April 30, 2008, the end of the current year, the accountant for Danville Company prepared...
-
Panama's annual birth rate has fallen from 32 to 19 per 1,000 since 1975 and its death rate is steady at 5 per 1,000. In which stage of demographic transition is Panama? Belgium is in Stage IV of...
-
Consider an electric utility that in 2013 had enough SO 2 allowances to cover its current emissions. If the utility could have reduced its emissions at a cost of $0.15 per ton, should it have done...
-
Suppose that ChemsAreUs Corporation is contemplating the production of Agent Yellow, an update of defoliant Agent Orange. Agent Yellow has a 10 percent chance of causing $1 billion worth of...
-
Indicate whether the following statement is true, false, or uncertain, and explain your answer: If every type of water use were 100 percent nonconsumptive, the only major problems regarding the world...
-
Which populations are most likely to use eHealth tools? Which are least likely?
-
Name five potentially valuable indicators of a firm's social responsibility and describe how company performance in each could be measured.
-
Open Text Corporation provides a suite of business information software products. Exhibit 10-9 contains Note 10 from the companys 2013 annual report detailing long-term debt. Required: a. Open Text...
-
Find the linearization L(x, y) of the function (x, y) at the point P 0 . Then find an upper bound for the magnitude of the error E in the approximation (x, y) L(x, y) over the rectangle R. f(x, y) =...
-
Find an equation for the plane tangent to the surface z = (x, y) at the given point. z = 1/(x 2 + y 2 ), (1, 1, 1/2)
-
Find an equation for the plane tangent to the surface z = (x, y) at the given point. z = ln (x 2 + y 2 ), (0, 1, 0)
-
I. For each of the following functions, do the following: a. Determine if f is continuous at a. b. Determine if f is differentiable at a. 1. 5-6x if x3 f(x)=-4-x ifx>3 ; a=3 4. f(x)= x-9 if x <3 ;a=3...
-
Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit Fixed expense per...
-
Consider the simplest complex constellations of 8-PSK and 16-PSK which sends symbols along both the I and Q components, as shown in Fig. 1. Let E denote the average transmit power, and 2 the variance...
Study smarter with the SolutionInn App