Use vectors to show that the midpoint of the line segment joining P(x 1 , y 1
Question:
Use vectors to show that the midpoint of the line segment joining P(x1, y1) and Q(x2, y2) is the point Let O be the origin and let M be the midpoint of PQ. Draw a picture and show that
Transcribed Image Text:
Х1 + X2 У1 y2 2 OM = OP + ¿PÒ = OP + } (OÒ - OP).)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
Let Mxy be the midpoint ...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
-
Prove that the midpoint of the line segment joining P(x 1 , y 1 , z 1 ) and Q(x 2 , y 2 , z 2 ) is X1 + x2 y1 + y2 Z1 + Z2 2
-
Show that the midpoint of the line segment from P 1 (x 1 , y 1 ) to P 2 (x 2 , y 2 ) is (x 1 + x 2 /2, y 1 + y 2 /2)
-
(a) Prove that the midpoint of the line segment from (b) Find the lengths of the medians of the triangle with vertices A(1, 2, 3), B(-2, 0, 5), and C(4, 1, 5). (A median of a triangle is a line...
-
Use a computer and generate 50 random samples, each of size n = 28, from a normal probability distribution with = 19 and = 4. a. Calculate the z corresponding to each sample mean that would result...
-
What is a mask? What is its composition?
-
In Problem find each indicated derivative and simplify. t In t dy for y = dt et
-
Determine the equation of a least-squares regression line using technology or computer output.
-
Stew is a self-employed surfboard-maker in 2014. His Schedule C net income is $104,000 for the year. He also has a part-time job and earns $8,500 in wages subject to FICA taxes. Calculate Stews...
-
An investor invests $5,000 for 8 years at a nominal interest rate of 6%. Find the accumulated value if: 1. interest compounds annually 2. interest compounds semi annually
-
Last year, Jarod left a job that pays $80,000 to run his own bike-repair shop. Jarod's shop charges $65 for a repair, and last year the shop performed 5,000 repairs. Jarod's production costs for the...
-
Prove the following vector properties using components. Then make a sketch to illustrate the property geometrically. Suppose u, v, and w are vectors in the xy-plane and a and c are scalars. (a + c)v...
-
Prove that |cv| = |c||v|, where c is a scalar and v is a vector.
-
a. With what element is the \(3 s\) subshell first completely filled? b. With what element is the \(5 d\) subshell first half filled?
-
C 2 H 6 O 2 + NaOH + 6 H 2 O C 2 H 3 NaO 3 + O 2 + 3 H 2Hydrogen is produced at the cathode, oxYGEN AT THE ANODE .Mass balance to produce 5000 tonnes a year of glycolic acid, formic acid and oxalic...
-
Please answer: a discussion of the ethical issues involved. The court might not itself consider the ethics of the actions of the parties. However, I ask that you consider the ethics of the following:...
-
In Exercises 21-24, use these results from the "1-Panel-THC" test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24...
-
I need help for an assignment of a review on research on Virtual Education on study motivation and academic performance in university students. I am attaching a research article from a magazine to...
-
Shouldice Hospital in Canada is widely known for one thing-hernia repair! In fact, that is the only operation it performs, and it performs a great many of them. Over the past two decades this small...
-
Based on the accounts reflected below, the missing value for Equipment for the fundamental accounting equation to be in balance is what amount? Assume that all accounts have normal balances. a....
-
What is an access control list?
-
Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. r 2 sin 2 = 2
-
A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equations for the curve traced out by a point P on a spoke of the wheel b units from its center. As...
-
Match each graph with the appropriate equation (a)(l). There are more equations than graphs, so some equations will not be matched. Spiral a. r= cos 20 d. r = sin 20 g. r= 1 + cos 0 j. r = = sin 20...
-
solve this plz Alba Company is considering the introduction of a new product. To determine the selle price of the product you have The direct material permit The direct labor per unit The variable...
-
Calculate the current ratio collection period for accounts receivable, inventory turnover, gross margin percentage, and return on equity for 2014 and 2015 for the Jordan Corporation. Do not average....
-
A company received $11,000 cash in exchange for 200 shares of the companys common stock. What would the effect of this transaction on the current years accounting equation? Select one: A. No effect...
Study smarter with the SolutionInn App