Vektorregning 3

WebMatematik: Vektorregning Wikipedia: Vektorregning Matlex: Vektorregning Vektorregning & geometri (pdf) Regneregler.dk: Vektorer Matematikfessor: Vektorer Vektorer i planen (doc) Noteviki: Vektor Trammel of Archimedes ⇑ Cirkelforskydning ⇑ Ellipse i cirkel ⇑ Ellipse (elaboreret) ⇑ Ellipse med tangenter ⇑ Ellipse eller hyperbel ⇑ Ellipse (easy way) ⇑ Basic Flytbar ellipse ⇑ Locus Definition ⇑ Focus Finder ⇑ Angiv a og brændpunkter Handy / flexible Ellipse ⇑ Ellipse based on sin z Coloured Elaboreret version ⇑ Cirkel i parabel ⇑ Cirkler i parabler ⇑ Elaboreret Skabelon ⇑ Two Circles in a Parabola Eight Circles in a Parabola 12 Circles between Lines ⇑ Vinkelhalveringsteorem ⇑ Vinkelhalveringsteorem ⇑ Vinkelhalvering ⇑ Polygon (easy way) 1 ⇑ Polygon (easy way) 2 ⇑ Polygon (easy way) 3 ⇑ Polygon (easy way) 4 ⇑ Polygon (easy way) 5 ⇑ Roterende cirkler 1 ⇑ Roterende cirkler ⇑ Roterende cirkler 2 ⇑ Optisk bedrag (elaboreret) ⇑ Cirkel (skabelon) ⇑ NEW ⇑ Cirkel ( elaboreret ) NEW ( Coloured ) ⇑ Røringscirkler ⇑ Røringscirkler uden Heron ⇑ Røringscirkler (forenklet) ⇑ Farvepalet 2 Farvepalet 3 (easy way) Farvepalet 5 (elaboreret) ⇑ Farvepalet 5 ( polygon ) ⇑ Afrundet rektangel ⇑ Roterende rektangel ⇑ Piston (skabelon) Piston 2 (skabelon) Piston 3 (skabelon) Motor (4 cylindere) ⇑ Piston 3 (expand) ⇑ Cirkelbue (elaboreret) ⇑ Circle Arc Experiment ⇑ Hat Fitting Improved ⇑ Cirkelbuer (easy way) ⇑ Letters by bisecting ⇑ Letters by bisecting 3 ⇑ Epicycloid ⇑ Sliders/Letters 1 Sliders/Letters 2 ⇑ Ret vinkel (elaboreret) Ret vinkel (skabelon) ⇑ Yin Yang (Rotation) ⇑ Trekant i cirkler Skabelon ⇑ Trekantslinjer Trekantsruse Easy Way ⇑ Skabelon Elaboreret ⇑ Billardspil ⇑ Spiralkredsløb Dynamisk ⇑ Rotating Spiral ⇑ Max ( cos x + sin x ) NEW ⇑ Horoscope Wheel ⇑ Vektorpile (delte) Vektorpile (hele) Vektorpil (easy way) Pilespidser (easier way) Pilespids (easiest way) Vektorpil NEW ⇑ Ur (skabelon) Urskive med to visere ⇑ Vinkelmåler Eksperiment ⇑ Roterende rektangel ⇑ Roterende rektangel 2 ⇑ Afrundet rektangel ⇑ Harmonisk bevægelse 1 ⇑ Harmonisk bevægelse 2 ⇑ Periodisk bevægelse ⇑ Harmonic Motion (Spring) ⇑ Harmonic Motion NEW ⇑ Polygon 6 (easy way) ⇑ Locus of Points ... ⇑ Polygon (longhaired) Longhaired (elaborated) ⇑ Parallelle funktioner ⇑ Spejling (3 lysstråler) ⇑ Root Finder ⇑ Vinkelhastighed Elaboreret ⇑ Skæring ml. to vektorer Basal ⇑ Projektion (forenklet) ⇑ Linje-Parabel-Skæring ⇑ Wind Chill Factor Grid ⇑ Keep eye on the ball Easy way ⇑ Cirkel (parametrisk) ⇑ Sinus, cosinus og tangens ⇑ Tegnetrekant (basal) Tegnetrekant Easy way Elaboreret ⇑ 5-takket julestjerne 7-takket julestjerne ⇑ n-takket ! ⇑ Cirkler i trekant ⇑ Radius fås vha. siden ⇑ Bestem cirklernes radius ⇑ Firkanternes midtpunkter ⇑ Grid ( tabel, skema ) ⇑ Linjens længde (easy) Elaboreret ⇑ Rectangle in motion ⇑ ⇑ Vertex Form (basal) Vertex Form, elaboreret Standard Form, elaboreret 1 Triangle ⇑ Rolling Circle along Graph ⇑ 5 Triangles ⇑ Cirkel ml. parallelle linjer ⇑ Det evige Parallelogram ⇑ Rolling Circle on Circle ⇑ Volcano ⇑ Like that ? ⇑ Circle Line Intersection Ny typografi ⇑ Common Tangents ⇑ Circle Patterns ⇑ Regular Polygon ⇑ Sine Curves in a Circle ⇑ Sine Curves in a Circle ⇑ Tesselation ( mosaik ) ⇑ Fællesmængdeareal = 4 Geometriversion ⇑ Modern Times ⇑ Piston ( basic ) ⇑ Cirkler i ellipse ⇑ Polygonmønstre ⇑ Rotation ( klassisk ) Rotation ( moderne ) ⇑ Coloured Circular Sectors ⇑ Triangle Area Classic (elaborated) ⇑ Parallelogram / Rectangle ⇑ Pythagoras Animation ⇑

Equilateral Triangles Colorful ⇑ Pythagorean Proof ⇑ Roller Coaster 1 ⇑ Hexagon ( simple ) Hexagon ( elaborated ) ⇑ Pentagon ⇑ Pentagon Coloured ⇑ How to move a Graph How to move a Point ⇑ Flowers Flowers 2 Flowers 3 One Flower ⇑ A Torus ? ⇑ Determine Fraction ⇑ Pendulums Top View ⇑ Astroid 4 colours Astroid NEW ⇑ Cissoid of Diocles ⇑ Peaucellier-Lipkin Linkage Peaucellier-Lipkin (Colour) Geometry Version ⇑ Centroid Animation ⇑ Isosceles Triangle ⇑ Gears ( tandhjul ) ⇑ Bicentric Quadrilateral ⇑ Squares ( elaborated ) ⇑ Polygoner ( Easy Way ) ⇑ Rounded Squares ⇑ Find r, når s = 2 ⇑ Flexible Tangent ⇑ Cycloid ( basic ) Cycloid Tangent Cycloid Length ⇑ Cycloid Animation ⇑ Gears ( tandhjul ) ⇑ Kurvemønster Spirograph with Pen ⇑ Roterende trekant ⇑ Piston ( Pedagogical ) ⇑ Stempel ( elaboreret ) ⇑ Circle in Rhombus ⇑ Centroid Determination ⇑ Regulær Polygon Classic ⇑ Spirograph ⇑ Rotating Squircles 0 Rotating Squircles 1 Rotating Squircles 2 Rotating Squircles 3 Rotating Squircles 4 Rotating Squircles 5 Rotating Squircles 6 ⇑ Rotating Curves ⇑ Fraction of Hexagon ⇑ Wittgenstein's rod ( easy ) Wittgenstein BASIC 1 Wittgenstein BASIC 2 ⇑ Five Circles in a Square Movable ( NEW ) Easy Way ⇑ Semicircle in Square ⇑ Clock NEW Skabelon ⇑ Bezier Curves ⇑ Bezier Curves NEW ⇑ Bezier Curves Flexible Bezier Curve (basic) Bezier Curve ( easy ) ⇑ Cardioid with Tangents ⇑ Polygons ⇑ Line Animation ⇑ Astroid and Ellipse ⇑ Envolope of Lines Astroid, 4 colours ⇑ Fun with Squares NEW ( Multi coloured ) ⇑ Hyperbola ( basic ) ⇑ GIF for Piston ⇑ Fun with Parabolas ⇑ Witch of Agnesi ⇑ Path of moving Point Coloured ⇑ Polygonal Sine Waves ⇑ Drawing Machine Basic ( Infinity Symbol ) ⇑ ⇑ Envelope of a Parabola Triangle Side s ⇑ Circular Segments ⇑ Geneva Drive 5 Geneva Drive 6 Geneva Drive 9 ⇑ Semicircles ( halvcirkler ) ⇑ Square in Semicircle ⇑ Det gyldne snit Golden Spiral ⇑ Three regular Hexagons ⇑ Determine Alpha ⇑ Phyllotaxis Spirals ⇑ Height Theorem ⇑ One Fourth of a Square ⇑ Bézier Curve (Basic) Bézier Curve (Elaborated) ⇑ Star Spinner ⇑ n-Secting of Triangle ⇑ Determine the Median ⇑ Lissajous Curve ⇑ 1 Radian ⇑ Pedagogical ⇑ Template ⇑ Incircles ⇑ ½ Disk is shaded ⇑ Pentagons in a Circle ⇑ Determine Area of Triangle ⇑ Determine orange Area ⇑ Nonagons in Nonagon ⇑ Two Rectangles ⇑ Determine R - W ⇑ Incircle Area = ? ⇑ Blue Fraction = ? ⇑ Shaded Area = ? ⇑ Bestem siden x ⇑ Tangent Detector ⇑ NEW ⇑ Tangent Detector ( Basic ) ⇑ Adjustable bisecting Arcs ⇑ Area of blue Square = ? ⇑ Darkest Area = ? ⇑ Triangles, Circles, Square ⇑ ⇑ Shorter Perimeter = ? ⇑ Medianer Radius R = ? ⇑ Segments in a Triangle ⇑ Hexagon Spiral ⇑ 3D Semicircles y-axis ⇑ h = ½ Sum of Diameters ⇑ Three Circles-one Tangent ⇑ Squares in Triangles ⇑ Proof: a ² = b ² + c ² ⇑

Determine Radius 1 Determine Radius 2 ⇑ Isosceles Triangle ⇑ Determine Alpha ⇑ Ptolemy's Theorem 1 Ptolemy's Theorem 2 ⇑ Two golden Radians ⇑ Area blue / Area Square ⇑ Cirkel i halvcirkel ⇑ Semicircle ( Basic ) ⇑ Rectangle Area 1 = ? Rectangle Area 2 = ? ⇑ Thales's Theorem ⇑ Chords Theorem ⇑ Ford Circles 1 2i-1 Ford Circles, 2 Graphs ⇑ Two congruent rectangles Geometry Version ⇑ Kites inside hexagon ⇑ Cirkel, trekant, kvadrat ⇑ Ligesidet trekant ⇑ Reciprokke værdi af a ⇑ Determine Radius R ⇑ Shaded Fraction = ? ⇑ Blue Circle Area = ? Green Circle Area = ? ⇑ Segment CD = ? ⇑ Triangle in Nonangon Triangles in Nonangon ⇑ Orange Area = ? ⇑ Angle DCE = ? ⇑ Midsegment X = ? ⇑ Angle X = ? Alternative Solution ⇑ Blue / Orange = ? ⇑ Arc black = ? ⇑ Shaded Area = ? ⇑ Side, Diagonal, Area ⇑ Side of equilateral Triangle ⇑ Cardioid by moving Point NEW / ELABORATED Coloured Cardioids ⇑ Four Circles, two Triangles ⇑ Angle between Baselines Solution included ! ⇑ Rectangle Area = ? ⇑ Line Segment AL = ? ⇑ Rotating Polygons ⇑ Angle ACG = ? ⇑ Rotating Cardioids ⇑ Total blue Area = ? ⇑ a : b : c = ? ⇑ 3-4-5 Triangle in a Square ⇑ Curves with Epicycles ⇑ Area Blue in Octagon = ? ⇑ Blue Fraction = ? ⇑ Rectangle in Square = ? ⇑ Shaded Fraction = ? ⇑ Lemniscate of Bernoulli ⇑ Chord X = ? ⇑ Polygons and Circles ⇑ Square in Equilateral ⇑ Area of white Triangles = ? ⇑ Ratios a : b : c = ? ⇑ Rectangle Dimensions = ? ⇑ Angle BFD = ? ⇑ PQ : AQ = ? ⇑ Red - Green = ? ⇑ Waltzing Triangles NEW ⇑ Angle CAF = ? ⇑ Angle B = ? ⇑ Hypocycloids ⇑ Coloured Square = ? ⇑ Angle ACD = ? ⇑ Angle ACD = ? ⇑ Angle ADB = ? ⇑ Blue / Green = ? ⇑ Angle ATD = ? ⇑ Angle EKH = ? ⇑ Alpha = ? ⇑ Circles in a Parabola ⇑ Triangle minus Square Square in right Triangle ⇑ Shaded Fraction = ? ⇑ Blue Angle DBF = ? ⇑ b : s ⇑ Circles, 3-4-5 Triangle ⇑ Angle DCP = ? ⇑ Angle DCP = ? ⇑ Orange / Green = ? ⇑ Angle CAD = ? ⇑ Shaded Fraction = ? ⇑ Green Fraction = ? ⇑ On top of each other ⇑ Total Area of Design = ? ⇑ Angle ATD = ? ⇑ Area of Circle = ? ⇑ Side s of Square = ? ⇑ Area of Square = ? ⇑ Radius R = ? ⇑ Side a = ? ⇑ R / r = ? ⇑ Purple Area = ? ⇑ Green Fraction = ? ⇑ DP = MP = DM ⇑ Congruent Triangles ⇑ Shaded Fraction = ? ⇑ Angle DPT = ? ⇑ tan ABD = ? ⇑ Area ABCD = ? ⇑ Shaded Fraction = ? ⇑ Shaded Fraction = ? ⇑ B = ( a ; b ) = ? ⇑ Proof: AB + BC = BP Elaborated ⇑ Line Segment AB = ? ⇑