1 files changed, 40 insertions, 0 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Orthonormal-Basis/file1_orthogonal.py b/FSF-2020/linear-algebra/linear-transformations/Orthonormal-Basis/file1_orthogonal.py
new file mode 100755
index 0000000..a5d96f5
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Orthonormal-Basis/file1_orthogonal.py
@@ -0,0 +1,40 @@
+from manimlib.imports import *
+
+class Orthogonal(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes()
+        self.play(ShowCreation(axes))
+        self.move_camera(phi=60*DEGREES,theta=45*DEGREES,run_time=3)
+
+        text = TextMobject(r"$\hat{i}$",r"$\hat{j}$",r"$\hat{k}$")
+        text[0].move_to(0.7*DOWN+0.8*LEFT)
+        text[1].move_to(0.75*DOWN+0.7*RIGHT)
+        text[2].move_to(0.75*UP+0.4*RIGHT)
+        self.add_fixed_in_frame_mobjects(text)
+        self.play(Write(text))
+
+        line1 = Line(start = ORIGIN,end = RIGHT)
+        line1.set_color(DARK_BLUE)
+        tip1 = Polygon(-0.95*LEFT,-0.8*LEFT-0.1*DOWN,-0.8*LEFT-0.1*UP)
+        tip1.set_opacity(1)
+        tip1.set_fill(DARK_BLUE)
+        tip1.set_color(DARK_BLUE)
+
+        arrow2 = Line(start = ORIGIN,end = UP)
+        arrow2.set_color(DARK_BLUE)
+        tip2 = Polygon(0.95*UP,0.8*UP-0.1*RIGHT,0.8*UP-0.1*LEFT)
+        tip2.set_opacity(1)
+        tip2.set_fill(DARK_BLUE)
+        tip2.set_color(DARK_BLUE)
+        arrow2.set_color(DARK_BLUE)
+
+        arrow3 = Line(start = ORIGIN,end = [0,0,1])
+        arrow3.set_color(DARK_BLUE)
+        tip3 = Polygon([0,0,0.95],[0,0,0.8]-0.1*RIGHT,[0,0,0.8]-0.1*LEFT)
+        tip3.set_opacity(1)
+        tip3.set_fill(DARK_BLUE)
+        tip3.set_color(DARK_BLUE)
+
+        self.play(ShowCreation(line1), ShowCreation(tip1), ShowCreation(arrow2), ShowCreation(tip2), ShowCreation(arrow3), ShowCreation(tip3))
+        
+        self.wait()