Use a scalar projection to show that the distance from a point P 1 (x 1 , y 1 ) to the line ax by c 0 is Use this formula to find the distance from the point ( 2, 3) to the line 3x 4y 5 0 ax by, c Va b ...

First note that n a b is perpendicular to the line because if Q a b and Q a b lie o ...

Use a scalar projection to show that the distance from a point P 1 (x 1 ,

Question:

Use a scalar projection to show that the distance from a point P₁(x₁, y₁) to the line ax + by + c = 0 is |axı + by, + c| Va? + b?

Use this formula to find the distance from the point (-2, 3) to the line 3x - 4y + 5 = 0.

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

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 15, 2019 12:48 PM

See More Questions

Suppose a and b are unit vectors in R2. Show that the distance from a to the line through b is the same as the distance from b to the line through a. Use a picture to explain why this holds. How is...
Use the rotation formulas (5) to show that distance is invariant under a rotation of axes. That is, show that the distance from P 1 = (x 1 , y 1 ) to P 2 = (x 2 , y 2 ) in the xy-plane equals the...
Find the scalar projection of u = + 5j + 3k on v = + j - k.
A person is pulling on a rope attached to a locomotive of mass m = 100 tons (Fig. 1, right). The person is pulling with a constant force F that is 2 times greater than their body weight, at an upward...
Sheila owns a motel that is used in a trade or business. If she sells the motel, the gain will be Sec. 1245 ordinary income. During what period of time was the motel placed into service.
Sony Stereo began operations in March. March sales were $180,000 and purchases were $100,000. The beginning cash balance for April is $3,000. Sonys owner approaches the bank for an $80,000 loan to be...
Larry Riley formed a rental agreement for a self-storage unit with Iron Gate Self Storage in December 2003. The agreement stated that a maximum of $$5,000$ of personal property could be stored in...
This case includes data from The Shaw Group, Inc. annual report for the year ended August 31, 2010. Assets acquired under capital leases, net of accumulated depreciation, were $ 1.6 million and $ 2.0...
2. Draw one (1) accurate graph to show the production possibilities frontier for the head of household's own child PPFo given a budget of T=20Eo+20Co when E is units of education and C is units of...
You are 30 years old & have just completed your MBA at Carlson. You begin your job tomorrow and plan to put $750 of each months pay into a 401K. Based upon your investment choices, you expect to...
A boat sails south with the help of a wind blowing in the direction S36E with magnitude 400 lb. Find the work done by the wind as the boat moves 120 ft.
If r = (x, y, z), a = (a 1 , a 2 , a 3 ), and b = (b 1 , b 2 , b 3 ), show that the vector equation (r - a) (r - b) = 0 represents a sphere, and find its center and radius.
Calculate the molarity of AgNO 3 in a solution prepared by dissolving 1.44 g AgNO 3 in enough water to form 1.00 L solution.
All of the following are elements of the six Ms model of integrated marketing communication EXCEPT: media. money. measurement. management. Describe at least one consumer promotion and one trade...
Number of Workers Mushrooms per Day (pounds) 1 12 2 30 3 45 4 50 5 54 6 56 The table above shows the technology of production at the Matsuko's Mushroom Farm for the month of May. a . What is the...
Suppose nominal GDP is estimated to be $5 trillion, and the GDP deflator is 150. Given these numbers what is real GDP?
Helen likes Fiber One cereal and eats Fiber One almost every morning. When she went to the grocery today, there was no Fiber One on the shelf. According to research, how does a customer like Helen...
How much money must be deposited now at 7.0% interest per year so that $45,000 can be withdrawn at the end of every year for the next 20 years?
Analyze the driving and restraining forces of a change that you would like to make in your life. Do you believe that understanding force-field analysis can help you more effectively implement a...
Which of the following streaming TV devices does not involve use of a remote controller? A) Google Chromecast B) Apple TV C) Amazon Fire TV D) Roku
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = e x ln(1 + x)
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = sec x
After injection of a dose D of insulin, the concentration of insulin in a patients system decays exponentially and so it can be written as De at , where t represents time in hours and a is a positive...
2. Find the expected return and standard deviation of a portfolio which holds $300 in asset A and $700 in asset B. There is a correlation of -0.6 between asset A and B. + Expected Asset Expected...
(f) A feed stream of powder containing lactose filler and salicylic acid (API) in the required ratio will be sent to a granulator. A common liquid binder, povidone, will be added to the mixture via...
1. The following forecasts are available for the state of the economy and for two securities: State of the Economy Severe Recession Recession Normal Growth Boom Probability of State 25.00% 25.00%...

Use a scalar projection to show that the distance from a point P 1 (x 1 ,

Question:

|axı + by, + c| Va? + b?

Step by Step Answer:

First note that n a b is perpendicular to the line because if Q a b and Q a b lie o...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions