'Vector equation' diaporamas de présentation

VECTOR CALCULUS

16. VECTOR CALCULUS. VECTOR CALCULUS. So far, we have considered special types of surfaces: Cylinders Quadric surfaces Graphs of functions of two variables Level surfaces of functions of three variables. VECTOR CALCULUS.

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Chapter 12

Vectors. Chapter 12. Objectives. Intro Vectors Representing Vectors Algebra and Geometry of Vectors Cartesian Representation of Vectors in 2-D and 3-D Properties of Vectors in 2-D and 3-D Scalar Product of 2 Vectors Vector Equation of a Line. Scalars and Vectors.

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smallpt : Global Illumination in 99 lines of C ++ a ray tracer by Kevin Beason http://kevinbeason.com/smallpt/

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Chapter 8 IDEAL-FLUID FLOW

Chapter 8 IDEAL-FLUID FLOW. In the preceding chapters most of the relations have been developed for one-dimensional flow, i.e., flow in which the average velocity at each cross section is used and variations across the section are neglected.

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Lecture 12 Momentum, Energy, and Collisions

Lecture 12 Momentum, Energy, and Collisions. Announcements. Assignment 6 due Wednesday, Oct 5 (11:59pm) EXAM: October 13 (through Chapter 9) Look for messages regarding special TA office hours Reminder that formula sheet for Test 2 now on Collab under Midterms

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Vectors

Vectors. Addition is commutative. ( vi ) If vector u is multiplied by a scalar k , then the product k u is a vector in the same direction as u but k times the magnitude. Vector Directions. Hold your right hand out in front of you as if to shake hands.

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VECTOR CALCULUS

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VECTOR CALCULUS

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Chapter 9 Center of Mass and Linear Momentum

Chapter 9 Center of Mass and Linear Momentum. - Center of mass (com) for a system of particles. -The velocity and acceleration of the center of mass. -Linear momentum for a single particle and a system of particles. We will derive the equation of motion for the center of mass, and

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MAE 4261: AIR-BREATHING ENGINES

MAE 4261: AIR-BREATHING ENGINES. Review for Exam 1 Exam 1: October 21, 2008 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk. READING: HILL AND PETERSON. Chapter 1

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PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM (Section 15.1)

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SIO 210: Dynamics I Momentum balance (no rotation) L. Talley Oct. 13, 2010

SIO 210: Dynamics I Momentum balance (no rotation) L. Talley Oct. 13, 2010. Continuity (mass conservation) Reading: DPO ch. 5.1 Stewart chapter 7.7 (more formal) Force balance Reading: DPO ch. 7.1, 7.2 (skip 7.2.3) Lecture emphasis: advection, pressure gradient force

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When a new technology rolls up - you are either: Part of the Steamroller, -or- Part of the Road . The choi

An Indispensable Teaching tool. When a new technology rolls up - you are either: Part of the Steamroller, -or- Part of the Road . The choice is yours alone. Autograph The Teaching Tool Leading Into the 21 st Century An aid to learning in the 21 st Century.

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Twinning Dislocation Reactions

Twinning Dislocation Reactions. Deformation by Twinning. The second important mechanism by which metals deform is the process known as twinning.

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Fundamentals of Physics

Fundamentals of Physics. Chapter 12 Equilibrium & Elasticity Equilibrium The Requirements of Equilibrium The Center of Gravity Some Examples of Static Equilibrium Problem Solving Tactics Indeterminate Structures Elasticity Tension & Compression Shearing Hydraulic Stress

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THREE-DIMENSIONAL FORCE SYSTEMS

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The Laws of Motion

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The gradient as a normal vector

The gradient as a normal vector. Consider z=f(x,y) and let F(x,y,z) = f(x,y)-z. Let P=(x 0 ,y 0 ,z 0 ) be a point on the surface of F(x,y,z). Let C be any curve on the surface that passes through P and has the vector equation r (t) = <x(t),y(t),z(t)>. P. C.

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Vector Components

Vector Components. y. x. Coordinates. Vectors can be described in terms of coordinates. 6.0 km east and 3.4 km south 1 m forward, 2 m left, 2 m up Coordinates are associated with axes in a graph. x = 6.0 m. y = -3.4 m. Ordered Set.

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