Prove, using vector methods, that the line segment joining the midpoints of two sides of a triangle

Question:

Prove, using vector methods, that the line segment joining the midpoints of two sides of a triangle is parallel to the third side.

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 10:53 AM

See More Questions

In problem, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 = (-3, 2); P 2 = (6, 0)
In problem, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 = (2, -3); P 2 = (4, 2)
In problem, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 = (4, -3); P 2 = (6, 1)
Think about someone you know who is an entrepreneur. What are the advantages of owning their own business? What are the disadvantages? Why did they start their business? What method did they use to...
Suppose you buy one SPX call option with a strike of 1400 and write one SPX call option with a strike of 1450. What are the payoffs at maturity to this position for S&P 500 Index levels of 1350,...
How did Tiwan's national stockpile of medical supplies and PPE improve Taiwan's pandemic response and how it could have been used to improve the U.S. response.
What are some of the technological issues that arise through the use of technology in the function of selection?
On January 1, Intergen, Inc., invests $200,000 for a 40 percent interest in Ryan, a new joint venture with two other partners each investing $150,000 for 30 percent interests. Intergen plans to sell...
Use MATLAB to generate histograms that shows the percentage of packet trains that are of a certain length. Inputs to your program: A "packet train" of length i is a sequence of i consecutive packets...
The first seven transactions of Frontier Advertising, Inc., have been posted to the companys accounts: Requirement Prepare the journal entries that served as the sources for the seven transactions....
What heading and airspeed are required for an airplane to fly 837 miles per hour due north if a wind of 63 miles per hour is blowing in the direction S 11.5 E?
Prove that the midpoints of the four sides of an arbitrary quadrilateral are the vertices of a parallelogram.
Solve the nonlinear system of equations. Give all solutions, including those with nonreal complex components. 5x 2 - 2y 2 = 6 xy = 2
Imagine you are working for an organisation with an older audience, mainly digital immigrants. Write 500 words explaining the key changes in traditional to digital marketing and what this means to...
A large regional car distributor with outlets in the Midlands is planning to introduce the telephone into its acquisition and retention programme. Draw up a proposal that explains: the possible use...
Compare and contrast the relative merits of door drops and inserts. Which would be the probable better bet for a pizza delivery firm advertising in a small town?
Interflora is a flower delivery network that allows you to call one florist and get flowers delivered by another in the network. They have agreed flower ranges and set processes, which are methods of...
Outline what creative principles an international distress charity should take into account before emailing prospective donors.
Water pouring from a broken pipe lands on a flat roof. The water is moving at 5.0 m s 1 when it strikes the roof. The water hits the roof at a rate of 10 kg s 1 . Calculate the force of the water...
Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at random; it is numbered 203. You wish to estimate N. (See Goodman,...
Some books define the natural log function with the definite integral as the function 1(a) for which Using this definition, we can prove the laws of logarithms. Show that l(ab) = b l(a). (Try the...
Suppose a math class has four equally weighted tests. A student gets 60 on the first test, 70 on the second, 80 on the third, and 90 on the last. The average of a step function computed with the...
A math class has 20 students. In a quiz worth 10 points, 4 students get 6, 7 students get 7, 5 students get 8, 3 students get 9, and 1 student gets 10. The average of a step function computed with...
Find V 1 V 5 V source I 2 I 3 I 4 I 5 R 1 R 2 R 3 R 4 R total. V 2 = 6 0 . 0 V , V 3 = 9 0 . 0 V , V 4 = 5 0 . 0 V , I 1 = 1 . 5 A , I total = 4 . 0 A , R 5 = 3 0 ohms. Indicate where appropriate....
Two point charges, -2.4C and 5.616 C, are placed at x = 0 cm and x = 9.7 cm, respectively. Consider the x- axis directed to the right. 1.0p 8a At what point along the x axis is the electric field...
As you know, the value of. It is defined as the ratio of the circumference of a circle C divided by its diameter 2r. That is x-C/2. a) Let's assume that you measured a circumference of a circle to be...

Prove, using vector methods, that the line segment joining the midpoints of two sides of a triangle

Question:

Step by Step Answer:

Given triangle ABC let D ...View the full answer

Calculus

Students also viewed these Calculus questions