Chapter12Sec2ShowCode

# Chapter12Sec2ShowCode - Initialization Cells(Code Needed...

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Initialization Cells (Code Needed for Most Plot3D Statements) In[119]:= ticks @ min_, max_ D : = Join @ Table @8 i, If @ i ± 0, , Style @ i, 12 DD , 8 0.01, 0 << , 8 i, Ceiling @ min D , Floor @ max D , 2 <D , H * Numbered ticks * L Table @8 j, , 8 0.01, 0 << , 8 j, Round @ min D , Round @ max - 1 D , 1 <DD H * Un - numbered ticks * L H * 2D Options * L SetOptions @ Plot, ImageSize 350, AxesOrigin 8 0, 0 < , AspectRatio 1, AxesStyle Directive @ Medium, Bold D , Ticks ticks D ; H * 3D Options * L SetOptions @ Plot3D, ImageSize 600, BoxRatios 1, Boxed False, AxesOrigin 8 0, 0, 0 < , AxesStyle Directive @ Medium, Bold D , Ticks ticks, Mesh None, ViewPoint 8 2, 0.9, 1 < , ViewVertical 8 0, 0, 1 < D ; SetOptions @ ContourPlot3D, ImageSize 600, BoxRatios 1, Boxed False, AxesOrigin 8 0, 0, 0 < , AxesStyle Directive @ Medium, Bold D , Ticks ticks, Mesh None, ViewPoint 8 2, 0.9, 1 < , ViewVertical 8 0, 0, 1 < D ; SetOptions @ ParametricPlot3D, ImageSize 600, BoxRatios 1, Boxed False, AxesOrigin 8 0, 0, 0 < , AxesStyle Directive @ Medium, Bold D , Ticks ticks, Mesh None,

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ViewPoint 8 2, 0.9, 1 < , ViewVertical 8 0, 0, 1 < D ; SetOptions @ RegionPlot3D, ImageSize 600, BoxRatios 1, Boxed False, AxesOrigin 8 0, 0, 0 < , AxesStyle Directive @ Medium, Bold D , Ticks ticks, Mesh None, ViewPoint 8 2, 0.9, 1 < , ViewVertical 8 0, 0, 1 < D ; Chapter 12 : Vectors and the Geometry of Space 2 Chapter12Sec2.nb
Section 12.2: Vectors ª Definition: A vector is a quantity that has both magnitude (length) and direction. A vector will have an initial point at its tail and terminal point at its tip. The zero vector, 0, has magnitude equal to zero and is the only vector without an orientation or direction. In[125]:= Show @ Plot3D @ 0, 8 x, - 3.5, 3.5 < , 8 y, - 3.5, 3.5 < , PlotRange 8 - 3.5, 3.5 < , PlotStyle Directive @ Opacity @ 0 DD , Mesh None, BoundaryStyle None D , Graphics3D @8 Thick, Blue, Arrow @88 0, 0, 0 < , 8 - 2, 3, 1 <<D H * The arrow command simply plots a vector. ..needs tail and tip points * L <D , Graphics3D @ Text @ Style @ "u", Large, Bold D , 8 - 2, 3, 1.2 <DD , H * Label the Vector * L Graphics3D @ Text @ Style @ x, Large D , 8 4.2, 0, 0 <DD , H * Label the x - axis * L Graphics3D @ Text @ Style @ y, Large D , 8 0, 4, 0 <DD , H * Label the y - axis * L Graphics3D @ Text @ Style @ z, Large D , 8 0, 0, 4.2 <DDH * Label the z - axis * L D Chapter12Sec2.nb 3

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Out[125]= u x y z - 3 - 1 1 3 - 3 - 1 1 3 - 3 - 1 1 3 4 Chapter12Sec2.nb
± Geometric Interpretations Vector Addition: Suppose two vectors u and v are positioned so that the initial point of v is at the terminal point of u . Then the sume u+v is the new vector with initial point at u and terminal point at

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Chapter12Sec2ShowCode - Initialization Cells(Code Needed...

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