If r = (x, y, z), a = (a 1 , a 2 , a 3 ),

Question:

If r = (x, y, z), a = (a₁, a₂, a₃), and b = (b₁, b₂, b₃), show that the vector equation (r - a) • (r - b) = 0 represents a sphere, and find its center and radius.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 15, 2019 12:48 PM

See More Questions

Find the angle between a diagonal of a cube and one of its edges.
Suppose that all sides of a quadrilateral are equal in length and opposite sides are parallel. Use vector methods to show that the diagonals are perpendicular.
Find the cross product a x b and verify that it is orthogonal to both a and b. a = (4, 3, -2), b = (2, -1, 1)
Draw a UML Sequence Diagram for the process involved in paying a vendor for an item in cash. The process to follow is below. [15 points] a) Go to the bank b) Request your account balance c) The bank...
Karen purchased a computer three years ago for $15,300 to use exclusively in her business. She expensed the entire cost of the computer under Sec. 179. If she sells the computer during the current...
Show that if the concatenation of two words (neither A) in PALIN DROME is also a word in PALINDROME, then both words are powers of some other word; that is, if x and y and xy are al l in PALINDROME,...
Consider an economy with two individuals and Pareto-optimal equilibrium allocations. Both individuals have time-additive expected utility and their time preference rates are identical. (a) Assume...
Springfield mogul Montgomery Burns, age 80, wants to retire at age 100 so he can steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw $1 billion at the beginning of each...
You've just received an offer from a bank for a credit card with a quoted rate, or APR, of 15 percent compounded semiannually. What's the EAR, or effective annual rate, on the credit card?
Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy...
Use a scalar projection to show that the distance from a point P 1 (x 1 , y 1 ) to the line ax + by + c = 0 is Use this formula to find the distance from the point (-2, 3) to the line 3x - 4y + 5 =...
Find the angle between a diagonal of a cube and a diagonal of one of its faces.
Tina Eddings is the controller of Mendez Inc.At December 31, the companys investments in trading securities cost $74,000. They have a fair value of $70,000. Indicate how Tina would report these data...
Kelly Corporation received an advanced payment of $\$ 30,000$ in 2018 from Rufus Company for consulting services. Kelly performed half of the consulting in 2018 and the remainder in 2019. Kelly...
Rosa Dominguez, the owner of Elegant Dining in San Jose, California, is pondering whether to buy electronic menu technology and tablets for her five-star restaurant. Prices for a typical four course...
Dura Corporation makes metal frames for several world brands of portable home generators. They sell the frames to a wide variety of portable generator manufacturers such as DeWalt, DuroMax, Generac,...
Rocker Industries (RI) produces recreational in-line skates (see Exhibit 14.36). Demand is seasonal, peaking in the summer months, with a smaller peak demand during December. For one of their more...
The BOM, current inventory, and lead time (in months) for the in-line skates in Rocker Industries (A) case is shown in Exhibit 14.37. Using the chase demand strategy, you developed in Rocker...
For the following exercises, use Gaussian elimination to solve the system. x - 1 7 + y-2 8 3 2-3 4 x+y+z=6 + = 0 x+2+2y+z==5 3
The following information is for Montreal Gloves Inc. for the year 2020: Manufacturing costs Number of gloves manufactured Beginning inventory $ 3,016,700 311,000 pairs 0 pairs Sales in 2020 were...
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = e x2 cos x
If you deposit $100 at the end of every month into an account that pays 3% interest per year compounded monthly, the amount of interest accumulated after n months is given by the sequence (a) Find...
Use series to approximate the definite integral to within the indicated accuracy. r0.5 x'e* dx (| error| < 0.001)
The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes...
?? A local college is deciding whether to conduct a campus beautification initiative that would imvolve various projects, such as planting trees and remodeling bulidings, to make the campus more...
A company has net income of $196,000, a profit margin of 9.7 percent, and an accounts receivable balance of $135,370. Assuming 70 percent of sales are on credit, what is the companys days sales in...

If r = (x, y, z), a = (a 1 , a 2 , a 3 ),

Question:

Step by Step Answer:

ra r b 0 implies that the vectors ra and r b are orthogonal From the diagram in which ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions