To find the equation of the plane passing through the points P(1,2,-1), Q(2,3,1), and R(3,1,-2), we...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
To find the equation of the plane passing through the points P(1,2,-1), Q(2,3,1), and R(3,1,-2), we can use the cross product of the vectors PQ and PR to find the normal vector to the plane, and then use one of the given points to write the equation of the plane in point-normal form. To find the equation of the plane passing through the points P(1,2,-1), Q(2,3,1), and R(3,1,-2), we can use the cross product of the vectors PQ and PR to find the normal vector to the plane, and then use one of the given points to write the equation of the plane in point-normal form.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Find the equation of the plane passing through (-4, -1, 2) and parallel to a. The xy-plane b. The plane 2x - 3y - 4z = 0
-
Find the equation of the plane passing through the origin and parallel to a. The xy-plane b. The plane x + y + z = 1
-
1. a) Find the equation of the plane passing through points (1,1,1) and (0,2,3) and perpendicular to the plane x - 2y + 3z = 0. b) Find the value at the point (0,0) of the change of the function f...
-
In January 2014, Vanowski Corporation was organized and authorized to issue 2,000,000 shares of no-par common stock and 50,000 shares of 5 percent, $50 par value, noncumulative preferred stock. The...
-
What is the difference between flexible production and mass customization?
-
Hansen Industries reported the following results for 20x6. REQUIRED: Calculate the industry volume variance and market share variance for the year. Hansen Industries Budget Actual Industry Volume...
-
Should a married woman be allowed to abort without her husbands consent?
-
Suppose a five-year, $1000 bond with annual coupons has a price of $900 and a yield to maturity of 6%. What is the bonds coupon rate?
-
:08 Franklin Generators is in the process of preparing a production cost budget for August. Actual costs in July for the production of 60 generators were: Materials cost Labor cost Rent Depreciation...
-
Naboni was established in 1996 by Mr. Nicholas Menyani following a decision by the government of Zambia to liberalize the Zambian economy. Prior to 1991, the Zambian economy had been dominated by...
-
Guerra Electronics manufactures a variety of electronic gadgets for use in the home. Which of the following would probably be the most accurate measure of activity to use for allocating costs of...
-
The table below suggests that some organizations do not have the same diligence in developing a system of tracking how close they are to covenant thresholds compared to their diligence in control...
-
Design 3 manufacture Crane that will load from ground d prototype of a batid Davit be able to lift 3 to lift & lower a ground te to the top of a table. The crane will need to be freestanding, no...
-
The following firm pays no cash dividends and is not expected to for the next several years. Consider the following data: Humphrey Chemical, Incorporated Earnings Per Share (Time=0) Market...
-
Widget Corp. has to choose between two mutually exclusive projects. If it chooses project A. Widget Corp. will have the opportunity to make a similar investment in three years. However, if it chooses...
-
Farr Industries Inc. manufactures only one product. For the year ended December 31, the contribution margin increased by $47.410 from the planned level of $1,323,600. The president of Farr Industries...
-
The global outbreak of coronavirus (COVID-19) is an unprecedented event that has led to lockdowns and unexpected restrictions on the public as well as the corporate sector across the world. Following...
-
Archangel Corporation prepared the following variance report. Instructions Fill in the appropriate amounts or letters for the question marks in the report. ARCHANGEL CORPORATION Variance...
-
Refer to Problem 60. Use the Taylor polynomial of order 5 based at 1 to approximate And give a good bound for the error that is made? 1.2 In x dx
-
Prove Cavalieri's Principle. (Bonaventura Cavalieri (1598-1647) developed this principle in 1635.) If two regions have the same height at every x in [a, 1th then they have the same area (see Figure...
-
Let F(x, y, z) = f(r)r, where r ||r|| = x2 + y2 z2) and f is a differentiable scalar function (except possibly at r = 0). Show that curl F = 0 (except at r = 0).
-
In a recent study of how mice negotiate turns, the mice ran around a circular 90 turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this...
-
It is well known that runners run more slowly around a curved track than a straight one. One hypothesis to explain this is that the total force from the track on a runners feet the magnitude of the...
-
You are driving your car through a roundabout that has a radius of 9.0 m. Your physics textbook is lying on the seat next to you. What is the fastest speed at which you can go around the curve...
Study smarter with the SolutionInn App