through the point with coordinates (2‚ 1). What is the perpendicular distance from the origin to the line with equation ? 3) Solve the inequality 2 4)Consider the vectors a = i − j + k‚ b = i + 2 j + 4k and c = 2i − 5 j − k. (a)Given that c = ma + nb where m‚ n ‚ find the value of m and of n. (5) (b)Find a unit vector‚ u‚ normal to both a and b. (5) (c)The plane 1 contains the point A (1‚ –1‚ 1) and is normal to b. The plane intersects the x‚ y and z axes at the points L‚ M and N respectively
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Electronics Society SPACE VECTOR MODULATION –An Introduction == Tutorial at IECON2001== Dorin O. Neacsu Correspondence Address: Satcon Corporation‚ 161 First Street‚ Cambridge‚ MA 02142‚ Email neacsu@earthlink.net I. INTRODUCTION Space Vector Modulation became a standard for the switching power converters and important research effort has been dedicated to this topic. Tens of papers‚ research reports and patents were developed in the last ten years and the theory of Space Vector Modulation is already
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1. Gradient of a scalar field function Scalar Function: Generally‚ What Is Scalar Function? The Answer Is that a scalar function may be defined as A function of one or more variables whose range is one-dimensional‚ as compared to a vector function‚ whose range is three-dimensional (or‚ in general‚ -dimensional). Scalar Field When We Talk about Scalar Field‚ We Are Talking about the Scalar Function Being Applied to a Space (More like Euclenoid Space etc) or‚ a scalar field associates
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The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
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Computer as a tool Nicholas O. Williams Raster Images vs. Vector Images Assignment: Discuss the differences‚ advantages and disadvantages. There are two major types of images used by graphic design programs‚ they are called Vector and Raster images. This paper will seek to highlight the many differences‚ advantages and disadvantages respectively. Raster images are complex renderings made up of thousands of little dots or pixels. The word raster has its origin in Latin which means ‘rake’
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needs no “cause.” Slide 4-8 Seat Belts: An Application of Newton’s First Law Slide 4-9 What Is a Force? A force... force ... is a push or pull. ... is a vector. ... acts on an object. object ... requires an agent. agent ... is a contact force or a long-range force. Slide 4-10 Force Vectors Slide 4-11 → A Short Catalog of Forces: Weight w → Slide 4-12 → Spring Force Fsp Slide 4-13 Tension Force T Slide 4-14 Normal Force n
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Introduction Under today’s ever-changing market‚ strategic marketing planning has become more and more significant whether of the functional or the fundamental. Especially‚ although financial crisis leaded economy growth slowdown‚ it did not cause a serious influence for chain coffee shop. As Howard Schultz said‚ CEO of Starbucks‚ “I don’t think we had a business plan for the severity of what has taken place. History demonstrated to us that a downturn in the economy would not affect us‚ and in fact
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Chapter 1: Technical Measurement and Vector 5. Newton’s law of universal gravitation is represented by [pic] where F is the gravitational force‚ M and m are masses‚ and r is a length. Force has the SI units kg ∙ m/s2. What are the SI units of the proportionality constant G? 8. The speed of light is now defined to be 2.99 7924 58 × 108 m/s. Express the speed of light to (a) three significant figures‚ (b) five significant figures‚ and (c) seven significant figures. 15. A rectangular
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I. Company Description Sony Corporation is a multinational corporation and it is one of the world ’s largest media conglomerates founded in Tokyo‚ Japan. One of its divisions Sony Electronics is one of the leading manufacturers of electronics‚ video‚ communications‚ and information technology products for both the consumer and professional markets. Sony Corporation is the parent company of the Sony Group and is operating in business through its six operating segments: including Electronics‚ Games
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The Marketing Environment: Wal-Mart Corporation The Marketing Environment: Wal-Mart Corporation Wal-Mart is one of the world’s greatest assets to most people. It provides consumer’s a place they can go to virtually get anything they need from‚ car repairs‚ to groceries‚ prescription’s‚ even the latest toys and electronics. With all that said‚ this paper relates to the different forces in business that affects business: competitive‚ economic‚ political + legal + regulatory‚ technological‚ cultural
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