Question: A plane passes through the three points AE(2,1,1} , BE(3,2,1) , CE(1,3,2). i) Construct displacement vectors connecting A to B and A to (3'. ii)

A plane passes through the three points AE(2,1,1} , BE(3,2,1) , CE(1,3,2). i) Construct displacement vectors connecting A to B and A to (3'. ii) Construct a vector 1} that is nonnal to the plane containing the displacement vectors in (i). iii) Compute the equation of the plane using the results of (i) and (ii)

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!

App Knowledge/Understanding (8 marks) Identify the choice that best completes the stateme Multiple Choice: 1. A line passes through the points M(0, 1, 4) and N(1, 4, 5). Find a vector equation of the...

. A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric equation of the plane. x = 1+ 2s x = 1+25+1 a. y = 1+35-t S,tER C . y = 1+ 35 S, tER z = 1+45 z =...

............... 1. a) Determine the symmetric equations for the line through P(3, 3, 5) and parallel to the line with equation F = (6, 1, 1) + t(-2, 1, 3). b) Determine two other points on this line....

Calculus 3 Sections 12.1 and 12.2 Reading Assignment: 3D Coordinates and Vectors Answer Only Exercise 1 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

We seek the plane passing through the points A 1 2 5 B 3 7 2 C 1 5 6 i Define position vectors a b c to the respective points A B C ii Construct displacement vectors AB b a and BC c b iii Use the...

A plane passes through the three non-collinear points A, B and C having position vectors a, b and c respectively. Show that the parametric vector equation of the plane is r = a + (b a) + (c a) ...

2do lapso Prueba Virtual 1 vector X 5th year Virtual Test 1 (20%=4pts V X docs.google.com/forms/d/e/1FAlpQLSeVxX-v-OeS7fzf3eTSC2tPhSrONqpZry5smG4KWIbelj2_Fw/formResponse 5th year Virtual Test 1...

2. [-/2 Points] DETAILS SESSCALC2 10.5.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point...

Look at rubric to answer Work MUST be typed in ANSWER BOX Question 1: Question 2: Part A: /2 (Subtract initial from terminal - work) /2 (Correct linear forms) Part A: /2 (Angle between) /3 (work...

Kindly please digitalized the answer Patterns of Data in Scatter Diagram Linearity refers to whether a data pattern is linear (straight) or nonlinear (curved) 25 25 20 20 15 15 10 11 S 11 11...

For the hydraulic system shown in Figure, given A1 = 10 in.2, A2 = 30 in.2, and mg = 60 lb, find the force f1 required to lift the mass m a distance x2 = 6 in. Also find the distance x1 and the work...

Identify the four types of utility and give an example of each.

Guillaume carefully planned his budget for graduate school because he would need to borrow the money. Tuition was $30,000, and he would need living expenses for 16 months in Orlando, Florida. This...

Suppose Porsche is introducing a new line of light trucks and has already created the advertising campaign. How would you assess the effectiveness of the campaign?

1. Explain the following statements: a) Objective reality is always subjectively interpreted. b) What we know depends on whom we got to know it from.

4. Give examples from your everyday life where the process affects the result, but where the result also affects the process.

6. Give examples of circular patterns in a communication situation that you have participated in, where element A affects B, and B affects A.