The plane P is given as x + 2y - 5z = 7 and the line l
Question:
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 line I and is perpendicular to the plane P.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 88% (17 reviews)
a The angle between the line and the plane is The line is given as r 3i 4j 6k and the plan...View the full answer
Answered By
Enock Oduor
I am a chemist by profession, i coach high school students with their homework, i also do more research during my free time, i attend educational and science fair seminars where i meet students and do some projects.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
The general equation of the plane that contains the points (1, 0, 3), (-1, 1, -3), and the origin is of the form ax + by + cz = 0. Solve for a, b, and c.
-
Find an equation for the plane that contains the line in the XY-plane where y = 1, and the line in the XZ-pane where z = 2.
-
A given line is described by x + 2y = 4. Vector A starts at the origin and ends at point P on the line such that A is orthogonal to the line. Find and expression for A
-
When a company's bookkeeper started to prepare the monthly bank reconciliation, the cash account showed a balance of P528.600. At the end of the month, the following information was available from...
-
The following data represent baseball batting averages for a random sample of National League players near the end of the baseball season. The data are from the baseball statistics section of the...
-
1. Based on Susans observations, determine how long it actually takes Sam to produce a Navigator III. 2. If direct labor is assessed at $18 per hour, what would the labor savings per Navigator III be...
-
Reconocer las caractersticas ms importantes de las compras organizacionales que las diferencian de las adquisiciones de consumidores .
-
Iglesias Enterprises, Inc. has cash flows from operating activities or $385,000. Cash flows used for investments in property, plant, and equipment totaled $145,000, of which 80% of this investment...
-
Savanna Company is considering two capital investment proposals. Relevant data on each project are as follows: Project Red Project Blue Capital investment $462,000 $662,000 Annual net income 32,000...
-
SUNY Co. acquired 100% of the common stock of Albany Co. on January 1, 2010 for $600,000 (cash). As of that date, Albany Co. had the following trial balance. Debit Credit Accounts Payable Cr. 60,000...
-
The lines L i r = - k + (1 - j - 2k)t and L 2 r = 2i + j + (3i + cos j + k)s, where 0 < 2, are skew. a. Show that these lines do not intersect regardless of the value of . b. Determine the shortest...
-
In each of the following cases, determine the volume of the tetrahedron. a. Tetrahedron OABC with A(-2, 4, 1), B(8, 1, 0) and C(5, 6, -7). b. Tetrahedron ABCD with A(1, 1, -1), .8(0, 4,0), C(0, 6, 7)...
-
Boley Corporation reports the following information in its January 1, 2012, balance sheet: Stockholders equity Common stock, $10 par value, 50,000 shares authorized, 30,000 shares issued and...
-
f. The coordinates of two points A and B are (1, 2) and (5,7) respectively. Find the equation and slope of the line AB. g. Find the rate of change of the area of a circle w.r.t its radius r when r =...
-
1. Sketch the anticipated pattern of cracks on the beam structure shown below. Assume that the structure is adequately reinforced for the load shown, and that the loads are large enough to cause...
-
Estimate the hydrogen consumption required to completely remove the sulfur from a hydrotreater feedstock and to reduce the nitrogen content of the product to 15 ppm by weight. The 48.5 API naphtha...
-
2. Consider the following kinds of information, and suggest the most appropriate data type to store or represent each: Information Suggested Data Type String A person's name A person's age in years A...
-
Steam at 32 MPa, 520C enters the first stage of a supercritical reheat cycle including three turbine stages. Steam exiting the first-stage turbine at pressure p is reheated at constant pressure to...
-
Refer to the data in Exercise 8-24. Suppose that GP Industries uses FIFO process costing at Plant #2 for product costing. Required The following equivalent units (materials; conversion) used to...
-
Charles owns an office building and land that are used in his trade or business. The office building and land were acquired in 1978 for $800,000 and $100,000, respectively. During the current year,...
-
Propose a plausible synthesis for each of the following transformations. a. b. c. d. e. f.
-
Show at least two different methods for preparing 1-methylcyclohexene from 1-methylcyclohexanol.
-
Using any reagents of your choosing, show how you would convert tert-butyl alcohol into 2-methyl-1-propanol
-
question 1- You borrow a simple loan of SR 500,000, interest rate is 20%, it matures in one year. what's the yied to maturity? question 2- calculate_i for One-Year Discount Bond with price(p) =...
-
Taste of Muscat is a reputed chain of restaurants operating in Oman. Assume You are working as a management accountant for this restaurant chain which is specialized in all types of Arabic food. Your...
-
Industry Current Year Minus 1 Current Year Minus 2 Company: Air Products and Chemicals, Inc. (APD) Stock Price: 306.72 USD Shares Outstanding: 220.89 M Financial Ratios Most Current Year Current...
Study smarter with the SolutionInn App