<snapdata remixID="10269461"><project name="vector library" app="Snap! 6, https://snap.berkeley.edu" version="1"><notes>simple 3D vector math</notes><thumbnail>data:image/png;base64,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</thumbnail><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" scheduled="false" id="1"><pentrails>data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAAOhUlEQVR4Xu3VwQkAAAjEMN1/abewn7jAQRC64wgQIECAAIF3gX1fNEiAAAECBAiMAHsCAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQIHLFxAWmhEwHPAAAAAElFTkSuQmCC</pentrails><costumes><list struct="atomic" id="2"></list></costumes><sounds><list struct="atomic" id="3"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites><sprite name="Sprite" idx="1" x="241" y="180" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="false" hidden="true" costume="0" color="255,255,255,1" pen="tip" id="8"><costumes><list struct="atomic" id="9"></list></costumes><sounds><list struct="atomic" id="10"></list></sounds><blocks></blocks><variables></variables><scripts><script x="196" y="299.83333333333337"><custom-block s="X of %l"><l/></custom-block></script><script x="262" y="303.8333333333333"><custom-block s="Y of %l"><l/></custom-block></script><script x="326" y="311.8333333333333"><custom-block s="Z of %l"><l/></custom-block></script><script x="218" y="237.83333333333343"><custom-block s="vec %n %n %n"><l>0</l><l>0</l><l>0</l></custom-block></script><script x="229.99999999999997" y="334.83333333333337"><custom-block s="magnitude of %l"><l/></custom-block></script><script x="222.00000000000003" y="364.83333333333337"><custom-block s="unit vector of %l"><l/></custom-block></script><script x="217.00000000000003" y="392.8333333333333"><custom-block s="cross product %l x %l"><l/><l/></custom-block></script><script x="227.00000000000003" y="424.83333333333337"><custom-block s="dot product of %l * %l"><l/><l/></custom-block></script><script x="237.00000000000003" y="460.83333333333337"><custom-block s="reflect through %l %l"><l/><l/></custom-block></script></scripts></sprite></sprites></stage><hidden></hidden><headers></headers><code></code><blocks><block-definition s="vec %&apos;x&apos; %&apos;y&apos; %&apos;z&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n">0</input><input type="%n">0</input><input type="%n">0</input></inputs><script><block s="doReport"><block s="reportNewList"><list><block var="x"/><block var="y"/><block var="z"/></list></block></block></script></block-definition><block-definition s="X of %&apos;vec&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportListItem"><l>1</l><block var="vec"/></block></block></script></block-definition><block-definition s="Y of %&apos;vec&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportListItem"><l>2</l><block var="vec"/></block></block></script></block-definition><block-definition s="Z of %&apos;vec&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportListItem"><l>3</l><block var="vec"/></block></block></script></block-definition><block-definition s="magnitude of %&apos;vec&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportMonadic"><l><option>sqrt</option></l><block s="reportSum"><block s="reportPower"><custom-block s="X of %l"><block var="vec"/></custom-block><l>2</l></block><block s="reportSum"><block s="reportPower"><custom-block s="Y of %l"><block var="vec"/></custom-block><l>2</l></block><block s="reportPower"><custom-block s="Z of %l"><block var="vec"/></custom-block><l>2</l></block></block></block></block></block></script></block-definition><block-definition s="unit vector of %&apos;vec&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportQuotient"><block var="vec"/><custom-block s="magnitude of %l"><block var="vec"/></custom-block></block></block></script></block-definition><block-definition s="cross product %&apos;a&apos; x %&apos;b&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doReport"><custom-block s="vec %n %n %n"><block s="reportDifference"><block s="reportProduct"><custom-block s="Y of %l"><block var="a"/></custom-block><custom-block s="Z of %l"><block var="b"/></custom-block></block><block s="reportProduct"><custom-block s="Z of %l"><block var="a"/></custom-block><custom-block s="Y of %l"><block var="b"/></custom-block></block></block><block s="reportDifference"><block s="reportProduct"><custom-block s="Z of %l"><block var="a"/></custom-block><custom-block s="X of %l"><block var="b"/></custom-block></block><block s="reportProduct"><custom-block s="Z of %l"><block var="b"/></custom-block><custom-block s="X of %l"><block var="a"/></custom-block></block></block><block s="reportDifference"><block s="reportProduct"><custom-block s="X of %l"><block var="a"/></custom-block><custom-block s="Y of %l"><block var="b"/></custom-block></block><block s="reportProduct"><custom-block s="X of %l"><block var="b"/></custom-block><custom-block s="Y of %l"><block var="a"/></custom-block></block></block></custom-block></block></script></block-definition><block-definition s="dot product of %&apos;a&apos; * %&apos;b&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doReport"><block s="reportSum"><block s="reportProduct"><custom-block s="X of %l"><block var="a"/></custom-block><custom-block s="X of %l"><block var="b"/></custom-block></block><block s="reportSum"><block s="reportProduct"><custom-block s="Y of %l"><block var="a"/></custom-block><custom-block s="Y of %l"><block var="b"/></custom-block></block><block s="reportProduct"><custom-block s="Z of %l"><block var="a"/></custom-block><custom-block s="Z of %l"><block var="b"/></custom-block></block></block></block></block></script></block-definition><block-definition s="reflect through %&apos;a&apos; %&apos;normal&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doReport"><block s="reportDifference"><block s="reportProduct"><block s="reportProduct"><block var="normal"/><custom-block s="dot product of %l * %l"><block var="a"/><block var="normal"/></custom-block></block><l>2</l></block><block var="a"/></block></block></script></block-definition></blocks><variables></variables></project><media name="vector library" app="Snap! 6, https://snap.berkeley.edu" version="1"></media></snapdata>