Question: 5. Find a unit vector orthogonal to the triangle in R with vertices (0, 1, 1) , (2, 1, 3), and (-1, -1, -1). 6.

5. Find a unit vector orthogonal to the triangle in R

5. Find a unit vector orthogonal to the triangle in R with vertices (0, 1, 1) , (2, 1, 3), and (-1, -1, -1). 6. (a) Are the points (1, 0, 2), (4, 1, 1), and (-5, -2, 4) collinear in R3? (b) Are the points (1, 0, 2), (4, 1, 3), (5, -2, 4), and (0, 0, 1) coplanar in IR3

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!

Calculus 3 : Section 10.4: Problem 1 [1 point: Find the cross product a x b where a = {II}, 2, 2} and b = {5, 1,3}_ \"ham: Section 10.4: Problem 2 (1 point) Find the cross product a x b where a = (5,...

15. Find the distance from (2, 8, -1) to the line through (1, 1, 1) in the direction of the vector (1/ 3 )i + (1/ V3 )j+ (1/3)k. 16. Find the distance from (1, 1, -1) to the line through (2, - 1, 2)...

LAB 1: VECTORS AND GEOMETRY, PART A (c)2017 UM Math Dept licensed under a Creative Commons By-NC-SA 4.0 International License. 1. Objectives and Expectations for Lab 1, Part A In Part A of Lab 1, our...

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

2) Let A be the triangle with vertices the points P=(3, 1,-1). Q=(2,0, 3) and R=(1,1,1). Determine whether A is a right angle triangle. If it is not, explain with reason, why? 3) Let = , V =...

Please complete the 9 easy practice questions below Math 120 Hw 14: Problem 1 (1 point) Calculate the cross product assuming that u x w = (-2, -1, 8) (-u - 4w) X W =Math 120 Hw 14: Problem 2 (1...

Question 7 Let a = (-3, -4, 5) and b = (0, -4, -5). Find a unit vector which is orthogonal to a and b and has a positive x-component. Question Help: Message instructor _ Post to forum Submit Question...

Question 6 Vectors v and w have magnitudes | |3| | =16 and | |w| | =11 and the angle between these vectors is 159 What is the magnitude of their cross product? (Give an answer accurate to two decimal...

Step 2 Therefore, (u . 2v) = 2(6, 6) . (-7, 5) ). Now, recall that the dot product of two vectors u = (U1, U2) and v = (V1, V2) is as follows. u . v = u1V1 + u2V2 Simplify the product using this...

MATH 3C-L3 - EXAM #1 Laney College, Spring 2023 Fred Bourgoin Give exact answers whenever possible. Do not skip steps. Carefully justify your answers for full credit. Good luck! 1. Sketch a contour...

Jeremy is employed as a lawyer. His employer pays him $90 per week to cover the costs of any law magazines he may want to purchase. Required: Is the allowance a fringe benefit? (200 words)

List the original numbers in the data set represented by the given stem-and-leaf plots. Stem Leaves 57 58 59 60 017 13349 456678 23

What are the primary benefits of using flexible budgets in the planning and control of an organization's finances? Are there any potential drawbacks or challenges associated with implementing...

You have the following project available: Calculate the numbers that belong in the blank cells for project A to D. Hint: For some projects, a second positive IRR may exist. For Project D, the payback...

Create the database and insert the data in the tables using either SQLServer, MySQL, or Oracle Show all necessary SQL statements to create the tables and insert the data in the tables. Choose the...

Ronney's Marketing Company has the following adjusted trial balance at the end of the current year. No dividends were declared. However, 700 shares ($ 0.10 par value share) issued at the end of the...

A spherical shell of radius R1=10 cm carries a total charge q1=15 C that is uniformly distributed on its surface. A second, larger spherical shell of radius R2=23 cm that is concentric with the first...

You work in the accounting department of a company. Your company purchased the XYZ company six months ago, which recently incurred a 50% decline in revenues due to the lapsing of a key legal patent....

Write a program to wish happy birthday to a student. Firstly, take today month and day as an input and secondly take birthday as an input in the form of month and day. If the input day and month...

Tevin Trader starts a merchandising business on December 1 and enters into three inventory purchases: l01 Trader sells 15 units for $25 each on December 15. Eight of the sold units are from the...

What is the meaning of market as it is used in determining the lower of cost or market for inventory? 5

Duke & Son, antique dealers, purchased the contents of an estate for $37,500. Terms of the purchase were FOB shipping point, and the cost of transporting the goods to Duke & Son's warehouse was...