8. Time to explain:a) why does the vector equation of a plane have two parameters, while the vector equation of a linehas only one?b) can any three points define a plane? Explain.

Part (a) A line is a defined in one dimension, whereas, a plane is defined in 2 dimensions. So, for…

Answered: 8. Time to explain: a) why does the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the line l in R³ given by the parametric vector equation ()-)-G) 3 2 and the plane described by the Cartesian equation 2 x + z = -9. Find the value of the parameter A at the point where the line and plane intersect and enter this value in the box below. = Number
2. (a) Determine the vector equation and the Cartesian equation of the plane ß passing by the points A(1,3, 1), B(2,0,0) and C(0,1, 1). (b) Consider point P(0, 2,0) and determine if it belongs to the plane B. (c) Determine the vector equation and the Cartesian equation of the line passing by A and perpendicular to the plane ß.
If false explain why. Justify your answer. True or False: “Let L be a line in R3 with direction vector d, and let P be a plane with normal vector n. If n · d = 0, then P and L intersect.”
Day traders typically buy and sell stocks (or other investment instruments) during the trading day and sell all investments by the end of the day. The following table shows the closing prices on September 22, 2015, of 12 stocks selected by your broker, Prudence Swift, as well as the change that day. Tech Stocks Close Change AAPL (Apple) $113.40 -1.81 ADBE (Adobe Systems) $84.66 1.34 EBAY (eBay) $25.61 -0.31 MSFT (Microsoft) $3.90 -0.21 S (Sprint) $4.40 0.02 WIFI (Boingo Wireless) $8.51 0.56 Non-Tech Stocks ANF (Abercrombie & Fitch) $21.81 -0.02 в (Воeing) $133.99 -2.03 F (Ford Motor Co.) $13.91 -0.40 GE (General Electric) $25.10 0.01 GIS (General Mills) $57.12 0.33 JNJ (Johnson & Johnson) $93.26 0.13 On the morning of September 22, 2015, Swift advised you to purchase a collection of three tech stocks and two non-tech stocks, all chosen at random from those listed in the table. You were to sell all the stocks at the end of the trading day. (a) How many possible collections are possible?…
Pls help ASAP
Determine an equation (in variables x, y, z) for the plane through the point (8, 1,4), and with normal vector (-2, 6, -2). Make sure that your answer is an equality, i.e., involves an = sign.

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8. Time to explain: a) why does the vector equation of a plane have two parameters, while the vector equation of a line. has only one? b) can any three points define a plane? Explain.