If a, b, and c are not all 0, show that the equation ax + by +
Question:
If a, b, and c are not all 0, show that the equation ax + by + cz + d = 0 represents a plane and (a, b, c) is a normal vector to the plane. Suppose a ≠ 0 and rewrite the equation in the form
Transcribed Image Text:
+ b(y – 0) + c(z – 0) = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (12 reviews)
If a 0 then ax byczd0 axdaby0 cz00 which by 7 is the scalar equation of t...View the full answer
Answered By
Sumit kumar
Education details:
QUATERNARY Pursuing M.Tech.(2017-2019) in Electronics and Communication Engg. (VLSI DESIGN) from
GNIOT Greater Noida
TERTIARY B.Tech. (2012-2016) in Electronics and Communication Engg. from GLBITM Greater Noida
SECONDARY Senior Secondary School Examination (Class XII) in 2012 from R.S.S.Inter College, Noida
ELEMENTARY Secondary School Examination (Class X) in 2010 from New R.J.C. Public School ,Noida
CERTIFICATION
Summer Training in ‘WIRELESS EMBEDDED SYSTEM’ from ‘XIONEE’ for the six weeks.
EMBEDDED SYSTEM Certificate issued by CETPA INFOTECH for one day workshop.
Certificate of Faculty development program on OPTICAL COMMUNICATION and NETWORKS for one week.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Suppose that 8% of all managers in a given company are African American, 13% are women, and 17% have earned an MBA degree from a top-10 graduate business school. Let A, B, and C is, respectively, the...
-
Show that the equation x3 15x + c = 0 has at most one root in the interval [ 2, 2].
-
Show that the equation x4 + 4x + c = 0 has at most two real roots.
-
Israel We I had been in Israel for two weeks. We were in our church tour bus, late at night, driving through the mountainous desert. The night was black no moon and only a few stars. The only light...
-
Define earnings persistence. How does earnings persistence relate to the reporting of discontinued operations and extraordinary items?
-
Consider a database that consists of the following relations. SUPPLIER(Sno, Sname) PART(Pno, Pname) PROJECT(Jno, Jname) SUPPLY(Sno, Pno, Jno) The database records information about suppliers, parts,...
-
In general how have interest rates changed since the late 1980s according to Figure 11.1? FIGURE 11.1 Interest and Inflation Rates, 1988-2010 10p Rate (%) 8 6 10-Year Treasury Bonds 4 2 AAA Corporate...
-
Electrocomp's management realizes that it forgot to include two critical constraints. In particular, management decides that there should be a minimum number of air conditioners produced in order to...
-
DATABASE: SQL Data Manipulation Language (DML) : Insert, Update & Delete Statements What are the Command to insert, update and delete data within the database tables please explain? Table Student...
-
Consider a decision network with the following structure, where node U is the utility: a. In the graph above, how do we know if a node is guaranteed to have V P I = 0? b. Can any node be guaranteed...
-
Give a geometric description of each family of planes. (a) x + y + z = c (b) x + y + cz = 1 (c) y cos + z sin = 1
-
(a) What does the equation y = x 2 represent as a curve in R 2 ? (b) What does it represent as a surface in R 3 ? (c) What does the equation z = y 2 represent?
-
Using the information in Problem 1, construct your equity account balance sheet at the time of your purchase. What does your balance sheet look like if the share price rises to $84? What if it falls...
-
Given the function (x) = x + x 10x, find all x-values where f has an inflection point.
-
Short-term Liquidity- Calculate the following: a) Days Inventory Held (also known as "Days Inventory") b) Days Sales Outstanding (also known as "Days Receivables") c) Days Payable Outstanding (also...
-
OAB company intends to distribute dividends to its stockholders amounting to BD12 per share next year. The amount represents 15% return of investors money. However, the company as part of its...
-
Suppose the project requires initial investment of $10000 and expects to receive annual end-of-year perpetual payments. The first payment is estimated to be $872 and we expect the payment to grow at...
-
What is the 1year futures value for a stock with spot price of $200. Assume the one-year T-bill rate is 3% and dividend yield is 2%. All the rates are continuously compounded. If possible, conduct an...
-
Assuming a release of 173 MeV per fission reaction, calculate how many reactions must occur per second to produce a power output of 150 MW.
-
You are planning to purchase your first home five years from today. The required down payment will be $50,000. You currently have $20,000. but you plan to contribute $500 each quarter to a special...
-
Sketch the graph of a function that satisfies the given conditions. f(0) = 0, f'(2) = f'(1) = f'(9) = 0, f'(x) < 0 on (, 2), (1, 6), and (9, ), f'(x) > 0 on (2, 1) and (6, 9), f"(x) > 0 on ( , 0) and...
-
Find the most general antiderivative of the function. (Check your answer by differentiation.) f(t)= 2t - 4 + 3t t
-
Find the intervals on which f is increasing or decreasing, and find the local maximum and minimum values of f . f(x) = x + 4 2 X
-
Identify which of these forms are refundable: W - 2 / 1 0 9 8 / 1 0 9 8 - T / 1 0 9 9 - R 1 0 9 5 - Oh, so why?
-
We will learn the preparation and interpretation of a cost-volume-profit graph and a profit graph. A CVP graph highlights CVP relationships over wide ranges of activity. The anticipated profit or...
-
ABC expects to maintain the same inventories at the end as at the beginning of the year. o . The estimated fixed costs for the or are they $ 2 8 8 , 0 0 0 , and the estimated variable costs per unit...
Study smarter with the SolutionInn App