From b54198b0db47c50f6584eb5e0b9ec54d2c1608b6 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:29:57 +0530
Subject: Add files via upload

---
 .../Inner-Product_Spaces/Projection-in-3D-space.py | 31 ++++++++++++++++++++++
 1 file changed, 31 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Inner-Product_Spaces/Projection-in-3D-space.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Inner-Product_Spaces/Projection-in-3D-space.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Inner-Product_Spaces/Projection-in-3D-space.py
new file mode 100644
index 0000000..e99202f
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Inner-Product_Spaces/Projection-in-3D-space.py
@@ -0,0 +1,31 @@
+from manimlib.imports import *
+class ThreeDSpace(ThreeDScene):
+	
+	def construct(self):		
+		axes = ThreeDAxes()
+		axes.set_stroke(width=1,color=GOLD)	
+		self.add(axes)
+		self.set_camera_orientation(phi = 70*DEGREES,theta =110*DEGREES)
+		line1 = Line(color = YELLOW,opacity=350,start = ORIGIN,end = [0.5,2,2])
+		self.play(ShowCreation(line1))
+		self.wait(1)
+		line2 = Line(color = BLUE,opacity=350,start = ORIGIN,end = [2,2,-1])
+		self.play(ShowCreation(line2))
+		self.wait(1)	
+		line3 = Line(opacity=350,start=axes.c2p(0.5,2,2) ,end=axes.c2p(0.5,1.14,-0.17))	
+		self.play(ShowCreation(line3))
+		self.wait(1)
+		line4 = Line(color=RED,opacity=350,start = ORIGIN,end=[0.5,1.14,-0.145])
+		self.play(ShowCreation(line4))
+		self.wait(2)
+		text1 = TextMobject(r"\text{Projection on }",r"\text{$\vec{v}$}",r"\text{ onto }",r"\text{$\vec{u}$}",r"\text{ = }",r"\text{$ |\vec{v}|cos\theta$,}").scale(0.6).shift(4*LEFT+3.5*UP)
+		text1[1].set_color(YELLOW)
+		text1[3].set_color(BLUE)
+		text1[5].set_color(RED)
+		text2 = TextMobject(r"\text{where $\theta$ is the angle between the vectors.}").scale(0.6).shift(4*LEFT+3*UP)
+		self.add_fixed_in_frame_mobjects(text1)
+		self.add_fixed_in_frame_mobjects(text2)
+		self.play(ShowCreation(text1),ShowCreation(text2))
+		self.wait(3)
+		
+
-- 
cgit