By expressing diagonals as vectors and using the definition of the dot product, find the smaller angle

Question:

By expressing diagonals as vectors and using the definition of the dot product, find the smaller angle between any two diagonals of a cube, where each diagonal connects diametrically opposite corners and passes through the center of the cube.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

See More Books

Question Posted: Sep 08, 2018 11:43 AM

See More Questions

Find the angle between the body diagonals of a cube.
Using the definition of the group velocity u, derive Rayleigh's formula (5.5d). Demonstrate that in the vicinity of λ + λ ' the velocity u is equal to the segment v' cut by the tangent...
Find the acute angle between the two vectors A = 2a x + a y + 3a z and B = a x 3a y + 2a z by using the definition of (a) The dot product; (b) The cross product.
1 YOUR NAME: 2 Asset # 3 Asset name: 4 Date acquired: 5 Cost: 6 Depreciation method: 7 Salvage (residual) value: 8 Estimated useful life (years): 9 222 Computer 1/1/2018 $50,000 Straight Line (SL)...
Financial Statements from Commercial Accounts providing more information to the general public than those from Government Accounts? Explain
A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed....
Find an example of a spaghetti plot and click on the image. You can answer the following questions using either the default variables and cases, or else use the menu on the left to select variables...
Valron Company has two support departments, Human Resources and General Factory, and two producing departments, Fabricating and Assembly. The costs of the Human Resources Department are allocated on...
A company is considering two mutually exclusive projects. Both require an initial cash outlay of Rs.20000 each, and have a life of five years. The company's required rate of return is 10% and pays...
4. Testing Services Inc. is expected to have earnings of $6 per share this com- ing year. It expects earning will grow at 15% for three years. The company projects that from the third year (time 3)...
A field is given as G = [25/(x 2 + y 2 )](xa x + ya y ). Find (a) A unit vector in the direction of G at P(3, 4,2); (b) The angle between G and ax at P; (c) The value of the following double integral...
Given the points M(0.1,0.2,0.1), N(0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find (a) The vector R MN ; (b) The dot product R MN R MP ; (c) The scalar projection of R MN on R MP ; (d) The angle between R...
In recent years, as the gap between the rich and the poor has increased, the Lorenz curve has ________. A. Shifted away from the line of equality B. Not changed, but there has been a movement down...
In Problems 47-56, decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally,...
What is the difference between shallow history and deep history pseudostates?
How does the object-oriented concept of message passing help to hide the implementation of an object, including its data?
Explain how cost-volume-profit analysis may help in: (a) decisions on special orders (b) abandonment decisions (c) situations of limiting factors; and (d) a decision on buying in services.
Fig. P2.10 (a). shows a mechanical vibratory system. When $8.9 \mathrm{~N}$ force is applied to the system, the mass exhibits the dynamics as shown in Fig. P2.10(b). Compute $m, f$ and $k$ of...
Define botnet and explain its risk.
MgO prevents premature evaporation of Al in a furnace by maintaining the aluminum as Al2O3. Another type of matrix modifier prevents loss of signal from the atom X that readily forms the molecular...
For each of the following transfer functions, determine the unit impulse response of the system. (a) (b) (c) (d) H,(f) = 7+ j2nf j2nf 7+ j2f .() %3
A system is governed by the differential equation (a, b, and c are non-negative constants) (a) Find H(f) (b) Find and plot |H (f)| and (c) Find and plot |H (f)| and dy (t) dx (t) + ay (t) = b dt +cx...
Find the auto correlation functions corresponding to the following signals. (a) x 1 (t) = 2 cos(10t + /3) (b) x 2 (t) = 2 sin(10t + /3) (c) x 3 (t) = Re [3 exp (j10t) + 4j exp (j10t)] (d) x 4 (t) = x...
In 2019, Rylan Enterprises' net income increased by $2.5 million while its depreciation expense decreased by $500,000, accounts receivable increased by $2,000,000 and accounts payable increased by...
Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments-Molding and Fabrication. It started, completed, and sold...
The Sky Blue Corporation has the following adjusted trial balance at December 31. Cash Accounts Receivable Prepaid Insurance Notes Receivable (long-term) Equipment Accumulated Depreciation Accounts...

By expressing diagonals as vectors and using the definition of the dot product, find the smaller angle

Question:

Step by Step Answer:

By expressing diagonals as vectors and using the definition of the dot product find the small...View the full answer

Engineering Electromagnetics

Students also viewed these Physics questions