a. Use vectors to show that the distance from P 1 (x 1 , y 1 ,
Question:
a. Use vectors to show that the distance from P1(x1, y1, z1) to the plane Ax + By + Cz = D is
b. Find an equation for the sphere that is tangent to the planes x + y + z = 3 and x + y + z = 9 if the planes 2x - y = 0 and 3x - z = 0 pass through the center of the sphere.
Transcribed Image Text:
d = |Ax₁ + By₁ + Cz₁ − D| VA²+ B² + C²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (5 reviews)
ANSWER a Lets first find the equation of the plane in vector form We can write the normal vector to ...View the full answer
Answered By
Joseph wambui
I've adverse experience in tutoring and writing of journals and poems
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Prepare An assessment of the financial performance of each of LVMHs various business units between 2014 and 2015 including their sales growth and profit margin and their trends as well as their...
-
a. Show that the distance between the parallel planes Ax + By + Cz = D 1 and Ax + By + Cz = D 2 is b. Find the distance between the planes 2x + 3y - z = 6 and 2x + 3y - z = 12. c. Find an equation...
-
Use vectors to show that the distance from P 1 (x 1 , y 1 ) to the line ax + by = c is d = |ax +by = c Va + b
-
For the car suspension shown in Figure determine the differential equation, transfer function and state space model. Plot the position of the car and the wheel after the car hits a unit bump (that...
-
If a high-tech firm wanted to set up operations in Iran, what steps might it take to ensure that the subsidiary would not be expropriated? Identify and describe three strategies that would be...
-
Research Problem 2. Clint, your client, owns a life insurance policy on his own life. He has paid $6,800 in premiums, and the cash surrender value of the policy is $30,000. Clint borrowed $30,000...
-
What is capacity requirements planning? At what level of the priority planning process does it occur? LO.1
-
The accountant for Mystic Medical Co., a medical services consulting firm, mistakenly omitted adjusting entries for(a) Unearned revenue earned during the year ($21,950) and(b) Accrued wages ($6,100)....
-
Entries for Cash Dividends The declaration, record, and payment dates in connection with a cash dividend of $78,000 on a corporation's common stock are October 1, November 7, and December 15....
-
William is a trader. His financial year ends on 31 December. He rents business premises. The monthly rent of $1,350, payable in advance on the first day of each month, was increased to $1,380 from 1...
-
Find the component form of the vector. The sum of and where A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2) AB
-
Match the equation with the surface it defines. Also, identify each surface by type (paraboloid, ellipsoid, etc.). The surfaces are labeled (a)(1). y 2 + z 2 = x 2 a. C. e. g. i. k. X X Z NE b. d. f....
-
In Example 11.1, we calculated the mass of water in a large reservoir. We will now consider the pressure and force acting on the dam retaining water. (See Figure 11.9.) The dam is 500 m wide, and the...
-
Turn this information into an excel sheets with the excel formulas being shown P12.2 (LO 1, 2) (Liability Entries and Adjustments) Listed below are selected transactions of Schultz Department Store...
-
1. Consider an undirected random graph on the set of four vertices {A, B, C, D} such that each of the 4 2 = 6 potential edges exists with probability 0.2, independently of the presence/absence of any...
-
Basic Net Present Value Analysis Jonathan Butler, process engineer, knows that the acceptance of a new process design will depend on its economic feasibility. The new process is designed to improve...
-
Determine the support reactions at the smooth collar A and the normal reaction at the roller support B. 800 N 600 N B 0.8 m 0.4 m 0.4 m 0.8 m
-
A plant hopes to cool a steam line by sending it through a throttling valve to expand it to atmospheric pressure. The steam enters the valve at 550C and 250 bar. The expansion in the valve happens so...
-
Imagine that your statistics professor lost all records of students raw scores on a recent test. However, she did record students z scores for the test, as well as the class average of 41 out of 50...
-
Given the table below, about how much force does the rocket engine exert on the 4.0 kg payload? Distance traveled with rocket engine firing (m) Payload final velocity (m/s) 500 320 490 310 1020 450...
-
Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (x 2 + 1, tan -1 x), C is the triangle from (0, 0) to (1, 1) to (0, 1) to (0, 0)
-
A plane lamina with constant density p(x, y) = p occupies a region in the xy-plane bounded by a simple closed path C. Show that its moments of inertia about the axes are x' dy dx 3 Jc .3 I, I, 3 Jc
-
Use the method of Example 5 to calculate C F dr, where and C is any positively oriented simple closed curve that encloses the origin. 2yi + (? ?) j (x + y?)? F(x, y) = - y)?
-
How do warehouses and distribution centers differ? What is cross-docking and why might a company choose to cross-dock a product? What kinds of products can be delivered electronically? What kinds...
-
Strawberry Inc. has historically been an all-equity firm. The analyst expects EBIT to be $1.5B in perpetuity starting one year from now. The cost of equity for the company is 11.5% and the tax rate...
-
Guzman company received a 60- day, 5 % note for 54,000 dated July 12 from a customer on account. Determine the due date on note. Determine the maturity value of the note and journalize the entry of...
Study smarter with the SolutionInn App