Question: Given the points P1 = (2, 1, 6), P2 = (4, 7, 9), and P3 = (11, 7, 12). (a) Find the vector with length

Given the points P1 = (2, 1, 6), P2 = (4, 7, 9), and P3 = (11, 7, −12).

(a) Find the vector with length 2 and has opposite direction to the vector −−→P1P2 .

(b) Show that the vector −−→P1P2 is orthogonal (perpendicular) to the vector −−→P1P3.

Step by Step Solution

★★★★★

3.37 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given Points are P 1 216 P 2 479 P 3 11712 The final answer a th... View full answer

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:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

In the following normal form game: A B C a 12; -7 10:2 0,9 B 10:1 2:4 8:5 8 4:5 8:14 16: -3 (a) (3 points) Find the pure strategy best responses. You may mark the game table but you will loose a...

Q:

If the focal length of a lens is 3 centimeters and the image distance is 5 centimeters from the lens, what is the distance from the object to the lens?

Q:

The United StatesMexicoCanada Agreement replaced what trade agreement?

Q:

Andy McDowell Co. establishes a $100 million liability at the end of 2008 for the estimated site-cleanup costs at two of its manufacturing facilities. All related closing costs will be paid and...

Q:

Outstanding tale of an Irish immigrant trying to make her way in 1950s Brooklyn. Identify and analyze the rules that operate both interpersonally and in groups. What impact do these rules have on...

Q:

1.59 Cost of Living in Canada- International Comparison On the Mercer Cost of Living Survey for 2004, which surveys 144 cities based on over 200 items in each location, Canadian cities were close to...

Q:

Worldwide Publishing completed the following transactions for one subscriber during 2012: Oct 1 Sold a one-year subscription, collecting cash of $2,400, plus sales tax of 9%. Nov 15 Remitted (paid)...

Q:

Johnson Inc.'s non-strategic investment portfolio at December 31, 2019, consisted of the following: Debt and Equity Investments* 11,000 Xavier Corp. common shares 1,750 Young Inc. common shares...

Q:

Prepare a comprehensive list, in a bullet format, Of the audit risk factors present for the 1998 Just for Feet audit. Identify the five audit risk factors that you believe were most critical to the...

Q:

In business ethics, what does honesty is the best policy means?

Q:

1. Gwerrero 24 Aviation 31 Mid-Term Exam 10/18/22 onus (1 Point): Describe the primary means by which adverse yaw is reduced on the Cessna-150/152 and how works: Show all of your work and Pro Bonus...

Q:

2. List the Young's modulus, Yield strength(or breaking strength for brittle material), and failure strain for a)steel, b)aluminum alloy,c) glass, d) rubber, and e)Nylon. For strength and failure...

Q:

Israeli container ship operator ZIM Shipping is turning its small size into an advantage in a business dominated by outsize carriers running megaships in global supply chains, writes The Wall Street...

Q:

Portions of the financial statements for Peach Computer are provided below PEACH COMPUTER Income Statement For the year ended December 31, 2018 Net sales $1.975,000 Expenses Cost of goods sold...

Q:

Use the following information to answer the next question. The diagram shows a pendulum bob that has been pulled to the right by an angle e. Diagram is not to scale. 3. The pendulum has a length of...

Q:

The Cooling Division of JOY International produces a cooling element that it sells to its customers for $100 per unit. Its variable cost per unit is $30, and its fixed cost per unit is $25. Top...

Q:

SBS Company have received a contract to supply its product to a Health Care Service Hospital. The sales involve supplying 1,250 units every quarter, the sales price is RM 85 per unit. The Client...

Q:

In problems, find the average value of the function on the given interval. (a). f(x) = 4x3; [1, 3] (b). f(x) = 5x2; [1, 4] (c). f(x) = x/x2 + 16; [0, 3] (d). f(x) = x/x3 + 16; [0, 2]

Q:

Figure 12 shows three functions. One is the function f; another is its derivative f', which we will call g; and the third is the derivative of g, which one is which? 19 10- -10

Q:

A 10-pound monkey hangs at the end of a 20-foot chain that weighs 2 pound per foot. How much work does it do in climbing the chain to the top? Assume that the end of the chain is attached to the...

Q:

Calculate the missing values

Q:

Mr. Vacuum obtains vacuum cleaners for $720 less 33 1/3% and 15%. A demonstration unit regularly priced at $750 was sold for $450. The shops overhead is 22% of cost. a. What was the markdown rate on...

Q:

A jewellery store purchased a diamond ring for $2500 less 40% and 5%. The stores average unit overhead expenses are 30% of cost. The regular price of the ring is established so that, if it is sold in...