A median of a tetrahedron is a segment joining a vertex to the centroid of the opposite
Question:
A median of a tetrahedron is a segment joining a vertex to the centroid of the opposite face. The tetrahedron in Figure 22(B) has vertices at the origin and at the terminal points of vectors u, v, and w. Show that the medians intersect at the terminal point of 1/4 (u + v + w).
Transcribed Image Text:
u W (B)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (1 review)
Denote by A B C the terminal points of the vectors u v w in Figure 22B respectively and denote ...View the full answer
Answered By
Muqadas Javed
I am a mentor by profession since seven years. I have been teaching on online forums and in universities. Teaching is my passion therefore i always try to find simple solution for complicated problems or task grasp them so that students can easily grasp them.I will provide you very detailed and self explanatory answers and that will help you to get good grade. I have two slogans: quality solution and on time delivery.
4.60+
24+ Reviews
144+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A median of a triangle is a segment joining a vertex to the midpoint of the opposite side. Referring to Figure 22(A), prove that three medians of triangle ABC intersect at the terminal point P of the...
-
Assume that u, v, and w are vectors in R 3 that form the sides of a triangle (see figure). Use the following steps to prove that the medians intersect at a point that divides each median in a 2:1...
-
Jerry Clark is the sole proprietor of Affordable Digital Hearing, which does business by repairing hearing aids. In June 2006, Clark received a call from Kevin Wilson, a representative of...
-
Consider an extendable hash structure where buckets can hold 3 search key values. The entries with the key values listed below are inserted in the following order: 57, 28, 26, 98, 38, 79, 7, 109, 30...
-
Consider the blending system of Exercise 102. Inlet how rate, w2, and the bypass fraction, f, can be manipulated. Determine the model degrees of freedom, NF, and the control degrees of freedom, NFC.
-
Find the derivatives of the function. y = 2x -2
-
The disk shown in Figure P28.24 is charged with electrons and spins counterclockwise when viewed from above. From this perspective, what is the direction of the magnetic dipole moment of the disk?...
-
Dinkle Manufacturing Company manufactures a variety of tools and industrial equipment. The company operates through three divisions. Each division is an investment center. Operating data for the Home...
-
Which one of the metal atoms whose electronic structure given below forms a nitrate of the type M(NO3)2? 37 A. 2.8.0 B. 2.8.1 C. 2.8.2 D. 2.8.3
-
Answer- Mike Greenberg opened Swifty Window Washing Co. on July 1, 2020. During July, the following transactions were completed. July 1 Owner invested $14,200 cash in the company. 1 Purchased used...
-
We consider the equations of a line in symmetric form, when a 0, b 0, c 0. Find the symmetric equations of the line x = 3 + 2t, y = 4 9t, z = 12t 0x - x a y - Yo b 02-2 C
-
Show that the line in the plane through (x 0 , y 0 ) of slope m has symmetric equations m y-yo = 0x - x
-
What is your opinion on giving up your right to sue before you actually have it? Until you have sustained injury or received a wrongdoing, your right to call "foul" is not yet present; as such, do...
-
The quark compositions of the proton and neutron are, respectively, uud and udd, where \(\mathrm{u}\) is an up quark (charge \(+\frac{2}{3} e\) ) and \(\mathrm{d}\) is a down quark (charge...
-
The decay chain of uranium includes radon, a noble gas. When uranium in the soil decays to radon, it may seep into houses; this can be a significant source of radiation exposure. Most of the exposure...
-
A \(75 \mathrm{~kg}\) patient swallows a \(30 \mu \mathrm{Ci}\) beta emitter with a half life of 5.0 days, and the radioactive nuclei are quickly distributed throughout his body. The beta particles...
-
A motor must lift a 1000-kg elevator cab. The cab's maximum occupant capacity is \(400 \mathrm{~kg}\), and its constant "cruising" speed is \(1.5 \mathrm{~m} / \mathrm{s}\). The design criterion is...
-
A box slides across a frozen pond toward the left shore as two children standing on opposite shores pull on the box with ropes. The child on the left shore pulls with a force of \(3.0 \mathrm{~N}\),...
-
Even if behavioral biases do not affect equilibrium asset prices, why might it still be important for investors to be aware of them?
-
on 8 For the following set of lengths 130, 170, 160, 160, 150, 190 Third quartile is: et red d out of Select one: O a. 160 a question O b. 145 O c. 175 O d. 180
-
Find (i) The net area. (ii) The area of the region bounded by the graph of f and the x-axis on the given interval. You may find it useful to sketch the region. f(x) = x 4 - x 2 on [-1, 1]
-
Find the following integrals. dx (x + 4
-
Evaluate the following integrals using the Fundamental Theorem of Calculus. 2 + Vi dt J 4
-
WHY STARBUCKS SUCCEEDED IN CHINA: A LESSON FOR ALL RETAILERS Much has been written about Starbucks successful strategy in China. The company is opening a store a day and aims to have 5,000 stores in...
-
Write a Python program to find all prime numbers up to a given number n using the Sieve of Eratosthenes algorithm.
-
You will complete 2 policy studies in this course: Policy Study a: Health Insurance Portability and Accountability Act. Policy Study b: Medicare Access and CHIP Reauthorization Act. INSTRUCTIONS...
Study smarter with the SolutionInn App