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vector-mul.mako
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vector-mul.mako
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## -*- coffee -*-
<%inherit file="base2.mako"/>
<%block name="title">Scalar multiplication</%block>
##
window.demo = new Demo {
mathbox:
mathbox:
warmup: 10
splash: false
inspect: false
camera:
position:
[-1.5, -3, 1.5]
}, () ->
window.mathbox = @mathbox
view = @view axes: false
vector1 = [3, -5, 4]
vector2 = [3*1.5, -5*1.5, 4*1.5]
color1 = new Color "green"
color2 = new Color "red"
@labeledVectors view,
vectors: [vector1]
colors: [color1]
labels: ['v']
vectorOpts:
width: 10
@labeledVectors view,
vectors: [vector2]
colors: [color2]
labels: ['v']
zeroPoints: true
name: 'scaled'
mathbox.select("#scaled-text").set 'live', true
mathbox.select("#scaled-text").bind 'data', () -> [params.c.toFixed(2) + 'v']
# Make the vector draggable
@draggable view,
points: [vector1]
onDrag: (vec) ->
vec.clampScalar -10, 10
vector2[0] = vector1[0] * params.c
vector2[1] = vector1[1] * params.c
vector2[2] = vector1[2] * params.c
update()
# gui
params =
c: 1.5
gui = new dat.GUI();
gui.add(params, 'c', -10, 10).step(0.1).onChange () ->
vector2[0] = vector1[0] * params.c
vector2[1] = vector1[1] * params.c
vector2[2] = vector1[2] * params.c
update()
@caption '''<p><span id="vectors-here"></span></p>
<p>[click and drag the head of v to move it]</p>
'''
@vecElt = document.getElementById "vectors-here"
update = () =>
katex.render \
params.c.toFixed(2) + "\\cdot" \
+ @texVector(vector1, color: color1) \
+ "=" \
+ @texVector(vector2, color: color2),
@vecElt
update()