Find the equation of all planes: (a) Perpendicular to the line [x y z]T = [1 0

Question:

Find the equation of all planes:
(a) Perpendicular to the line
[x y z]T = [1 0 -1]T + t[3 0 2]T.
(b) Containing P(3, 2, -4).
(c) Containing P(2, -1, 1) and Q(l, 0, 0).
(d) Containing the line
[x y z]T = [3 0 2]T + t[1 -2 -1]T.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

See More Books

Question Posted: Jun 21, 2016 06:36 AM

See More Questions

Find the equation of the plane through (6, 2, -1) and perpendicular to the line of the planes 4x - 3y + 2z + 5 = 0 and 3x + 2y - z + 11 = 0.
Find the equation of the tangent line to y = cos x at x = 1.
Find the equation of the tangent line to y = tan x at x = 0.
Is the answer correct? The graph of a y = f(x) is shown. 6 + 5 14 m ~ 1 -6 -5 -4 -3 2 -1 -1 -2 -3 A w -4 -5- -6+ 1 2 3 4 The domain of f(x) is x = [-3,3] The domain of g(x) = notation) S 6 f(x) is a ...
Who owns the audit files? Under what circumstances can they be used by other people?
You are serving on a jury. A plaintiff is suing the city for injuries sustained after a freak street sweeper accident. In the trial, doctors testified that it will be five years before the plaintiff...
Using the estimates of the parameters of the Weibull model obtained in Exercise 16.18, estimate the probability that this kind of diaphragm valve will perform satisfactorily for at least 150 hours....
Suppose that a countrys money supply is $1,200 million and its domestic credit is equal to $800 million in the year 2005. The country maintains a fixed exchange rate, the central bank monetizes any...
A company has established that the relationship between the sales price for one of its product and the quantity sold per month is approximately p = 75 - 0.1D units (D is the demand or quantity sold...
Imperial Petroleum plc is a multinational oil and gas company based in the United Kingdom with substantial offshore production and exploration activities. Imperial prepares an annual sustainability...
In each case, find all points of intersection of the given plane and the line [x y z]T = [1 -2 3]T + t[2 5 -1]T. (a) 2x - y - z = 5 (b) -x - 4y - 3z = 6
Find the shortest distance between the following pairs of parallel lines. [x y z]T = [3 0 2]T + t[3 1 0]T [x y z]T = [-1 2 2]T + t[3 1 0]T
What distribution describes the result of sampling 20 people with cellular phones? Use the rule of thumb that 95% of the distribution lies within two standard deviations of the mean to give a...
What is the difference between a wrongful death and a survival action? a. What can be recovered in a survival action? In a wrongful-death action? b. What defenses can be raised in each? c. Can the...
True Or False The courts can find an entire industry negligent even if no one in the industry has adopted adequate safety measures.
True Or False Nominal damages cannot be awarded in intentional tort and strict liability cases but can be awarded in negligence cases.
True Or False In some states, survival actions are limited to losses occurring prior to a decedents death and are not allowed if a decedents death is instantaneous.
True Or False Courts generally do not hold insane people to a reasonable-person standard because they should not be held responsible for their actions.
Two coherent EM waves have amplitudes of E 0 and 0.67E 0 . What is the resulting amplitude when they interfere destructively?
During 2012, Cheng Book Store paid $483,000 for land and built a store in Georgetown. Prior to construction, the city of Georgetown charged Cheng $1,300 for a building permit, which Cheng paid. Cheng...
Find a unit vector that is orthogonal to both u = (1, 0, 1) and Y = (0, 1, 1).
Establish the identity u v = 1/4 || u + v || - 1/4 || u - v ||2.
Let i, j, and k be unit vectors along the positive x, y, and z axes of a rectangular coordinate system in 3-space. If v = (a, b, c) is a nonzero vector, then the angles Î±,...
A project costs $80 MM, with 25% of the investment int in year 1 and the balance in year 2. The plant operates atates at 50% capacity in year 3 and then full capacity for the next next 20 years. The...
What is organizational Behaviour the study of? How is social sciences related to organizational behavior? What is the difference between social science and organizational behavior? What is the...
Describe the nature of organization change, including forces for change and planned versus reactive change

Find the equation of all planes: (a) Perpendicular to the line [x y z]T = [1 0

Question:

Step by Step Answer:

a The line has direction vector which is a normal to all such planes If P 0 x 0 y 0 z 0 is any point ...View the full answer

Linear Algebra With Applications

Students also viewed these Linear Algebra questions