In each case, describe how to find a normal vector to the plane: (a) Three noncollinear points

Question:

In each case, describe how to find a normal vector to the plane:
(a) Three noncollinear points are given. The plane contains all three points.
(b) Two lines are given that intersect in a point. The plane contains the lines.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Jan 03, 2024 07:05 AM

See More Questions

In each case, describe how to find a normal vector to the plane: (a) A line and a point that is not on the line are given. The plane contains the line and the point. (b) Two lines are given that are...
Let L : x = 1 2t, y = 3 t, z = 3 be the parametric equation of the line L. (a) What is the direction vector of the line L? (b) Write two different points on the line L. (c) Write an equation of the...
In this problem, we shall outline a Bayesian solution to the problem described in Example 7.5.10 on page 423. Let = 1/ 2 and use a proper normal-gamma prior of the form described in Sec. 8.6. In...
Micah Bartlett Company purchased equipment on January 1, 2013, at a total invoice cost of $400,000. The equipment has an estimated salvage value of $10,000 and an estimated useful life of 5 years....
The most is subjected to the three forces shown. Determine the coordinate angles ?1, ?1, ?1 of F1 so that the resultant force acting on the mast is FR = {350i} N. 5 = 500 N 5= 300 N F= 200 N
Rachael Ray Corporation had the following transactions. 1. Sold land (cost $12,000) for $15,000 2. Issued common stock for $20,000 3. Recorded depreciation of $17,000 4. Paid salaries of $9,000 5....
91.20
The price of Garden Designs, Inc. is now $85. The company pays no dividends. Sean Perth expects the price four years from now to be $125 a share. Should Sean buy Garden Designs if he wants a 15...
Determining cash payments to stockholders The board of directors declared cash dividends totaling $1,100,000 during the current year. The comparative balance sheet indicates dividends payable of...
In each case, determine whether or not the lines have a single point of intersection. If they do, give an equation of a plane containing them. (a) r(t) = (t, 2t - 1,t-3) and r(t) =(4,2t - 1,-1) (b)...
Find an equation of the plane passing through the three points given. P = (2, 0, 0), Q = (0, 4, 0), R = (0, 0, 2)
Starting with the energy-momentum relation and the definition of total energy, show that (pc)2 = K 2 + 2KE0 [Eq. (26-23)]. E = E + (pc)
From Hoffman, what are the symptoms of autism and ADHD? From the Mayo Clinic, what are the causes and risk factors for autism and ADHD? What are treatment options for these disorders? Hofmann, S. G....
Brooks, a participant in the Zappa retirement plan, has requested a second plan loan. His vested account balance is $80,000. Brooks borrowed $27,000 eight months ago and still owes $18,000 on that...
Suppose that Angelina and Brad own the only two professional photography stores in town. Each must choose between a low price and a high price for senior photo packages. The annual economic profit...
based on the article How Chili's Is Prepping for Tough Times, Starting With the Fries by Heather Haddon. What is corporate social responsibility, and what is one way that Chili's can better pursue...
QUESTION 2 (20 marks) CLO 5 a. Explain what the following ratios indicate to a firm: (i) Acid Test Ratio (ii) Return on Capital Employed (ROCE) (iii) Debtors Collection Period (iv) Working Capital (2...
Jones claims to have extrasensory perception (ESP). In order to test the claim, a psychologist shows Jones five cards that carry different pictures. Then Jones is blindfolded and the psychologist...
What key concerns must functional tactics address in marketing? Finance? POM? Personnel?
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east...
What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 3/x at some point?
What is the smallest possible area of the triangle that is cut off by the first quadrant and whose hypotenuse is tangent to the parabola y = 4 - x 2 at some point?
Long-term liabilities are shown in two places in the business firm's balance sheet depending upon when the long-term liabilities are scheduled for payment. True False
Julio is single with 1 withholding allowance. He earned $1,025.00 during the most recent semimonthly pay period. He needs to decide between contributing 3% and $30 to his 401(k) plan. If he chooses...
Acquirer firm plans to launch a takeover of Target firm. The manager of Acquirer indicates that the deal will increase the free cash flow of the combined business by $13.6m per year forever. The beta...

In each case, describe how to find a normal vector to the plane: (a) Three noncollinear points

Question:

Step by Step Answer:

a Let the three points be P Q and R and consider POX PR Since P Q and R are ...View the full answer

Calculus

Students also viewed these Mathematics questions