Question: 1 - 8 . Let A be a vector from the origin to a point P fixed in space. Let r be a vector from

1-8. Let A be a vector from the origin to a point P fixed in space. Let r be a vector from the origin to a variable point Q(x1,x2,x3). Show that
A*r=A2
is the equation of a plane perpendicular to A and passing through the point P.
1 - 8 . Let A be a vector from the origin to a

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Let A be vector from the origin to point P fixed in space. Let r be a vector from the origin to a variable point Q (x1, x2, x3). Show that A r = A2 is the equation of a plane perpendicular to A and...

Q:

Suppose that A, B, and C are the corner points of a thin 24 C(1,1,2) triangular plate of constant density shown here. cm A(6,2,0) M B(1,1,0) a. Find the vector from C to the midpoint M of side AB....

Q:

In contrast to the proof in Exercise 81, we now use coordinates and position vectors to prove the same result. Without loss of generality, let P(x 1 , y 1 , 0) and Q(x 2 , y 2 , 0) be two points in...

Q:

Let V be the vector space all polynomials of degree 3 with real coefficients in one variable z. (a) Consider the map T: V V defined by T(p(x)) = p(x + a), where a is a fixed real number. Show that T...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

I need help with this lab. Please answer questions for pages 4-7. Freefall Purpose: We will measure the value of 'little g', or the acceleration due to gravity on the surface of Earth. The particular...

Q:

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Q:

please help me with this asap do it carefully and clearly plz. # Import library import numpy as #(2 points) # Function register_Arun_3D # Input: Two 3x matrices of points to register: # fixed dataset...

Q:

In December 2008, Bigby Companys manager estimated next years total direct labor cost assuming 100 persons working an average of 2,000 hours each at an average wage rate of $15 per hour. The manager...

Q:

A long dielectric cylinder of radius R is statically polarized so that at all its points the polarization is equal to P = ar, where a is a positive constant, and r is the distance from the axis. The...

Q:

2. Identify the fallacies of presumption, ambiguity, and grammatical analogy committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write no...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...