Question: Verify that the plane x y + 5z = 10 and the line r(t) = (1, 0, 1) + t (2, 1, 1) intersect

Verify that the plane x − y + 5z = 10 and the line r(t) = (1, 0, 1) + t (−2, 1, 1) intersect at P = (−3, 2, 3).

Step by Step Solution

★★★★★

3.42 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We verify that the point P 32 3 is contained in both t... 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 Calculus 4th Questions!

Q:

3. (a) What is a microkernel? [6%] (b) Why is an efficient implementation of inter-process communication critical for the efficiency of microkernels? [6%] (c) You are asked to write a device driver...

Q:

Caspers is analyzing a proposed expansion project that is much riskier than the firms current projects. Thus, the project will be assigned a discount rate equal to the firms cost of capital minus 2...

Q:

Applied Overhead and Unit Overhead Cost: Plantwide Rates Imprimo, Inc., produces two types of ink-jet printers: business and home. Imprimo uses a plantwide rate based on direct labor hours to assign...

Q:

39. Find an equation of the plane P in Figure 9. -Space 723 5 FIGURE 9 40. Verify that the plane x - y + 5z = 10 and the line r(t) = (1,0,1) + 1 (-2, 1, 1) intersect at P = (-3, 2, 3). In Exercises...

Q:

\fComplete the parametric equations for the line where the planes x - 5y - 5z = - 10 and 2x - 5y - 16z = - 21 intersect. ac(t) = 55t: y(t) = = (7)2\fFind a plane through the point (-1, 1,8) and...

Q:

The plane P is given as x + 2y - 5z = 7 and the line l as r = -3i + 4j + 6k + (11i + j + 8k)t. a. Find the angle between the line and the plane. b. Find the equation of the plane that contains the...

Q:

Question 20 and 32 please es/117742/files/folder/Homeworks?preview=39002051 Carmen X 840b2c..: "Towar... SECTION 3.2 EXERCISES Review Questions 1. How does a line integral differ from the...

Q:

9. [-/1 Points] DETAILS SCALCET7 12.5.045. Find the point at which the line intersects the given plane. x = 5 - t, y = 4 + t, z = 3t; x - y + 4z = 11 ( x, y, Z) = Need Help? Watch It 10. [-/1 Points]...

Q:

Question 10 Complete the parametric equations for the line where the planes 7x + 4y + 5z = 10 and 5x ty - 2z = -4 intersect. x(t) = -13t: y(t ) = z (t ) = Question Help: Video Message instructor D...

Q:

I'm not sure how to use mathematica. please help with the code that I need for these 10 problems. WOLFRAM MATHEMATICA STUDENT EDITION Code Text ["z", {1.05 len1 , , }], Text [ "y", {e, 1.05" len20)],...

Q:

1. Describe the conditions under which a market is contestable. 2. State the conclusions of contestable market theory.

Q:

One sheet of stamps is shown at the right. Emma needs to buy 50 stamps to send out invitations for her graduation party. Will 2 sheets of stamps be enough? How do you know?

Q:

Which of the following is not a microeconomic choice for governments? a) increasing tuition rates b) taxing automobile emissions c) increasing the exchange rate of the Canadian dollar d) increasing...

Q:

The FUTA tax is: a. An unemployment tax with a rate of 2.9 percent up to $132,900 of salary per employee. b. A disability tax with a rate of 2.9 percent up to $7,000 of salary per employee. c. An...

Q:

Evaluate the integral by interpreting it in terms of areas. 25 ?) dx ( -5

Q:

Evaluate the integral by interpreting it in terms of areas. xp |x| -4

Q:

Evaluate the integral by interpreting it in terms of areas. C12x 1|dx

Q:

Cash proceeds of $72,000 include a $12,000 gain on the sale of land and the $60,000 cost (book value) of the land. Which of the following is true? a. The $12,000 gain is deducted from net income in...

Q:

Stephanie Corporation selis a single product. Budgeted sales for the vear are anticpated to be 645,000 units, estimated beginning mventory is 105,000 units, and desired ending inventory is 81,000...

Q:

Credit card numbers follow certain patterns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for...