from manimlib.imports import *

class Orthonormal(Scene):
    def construct(self):
        Centre = DOWN
        arrow_1 = Arrow(start = Centre+ORIGIN,end = Centre+1.414*(UP+RIGHT))
        arrow_2 = Arrow(start = Centre+ORIGIN,end = Centre+2*UP)
        arrow_1.scale(1.35)
        arrow_2.scale(1.35)
        text = TextMobject("This is a set of linearly independent vectors")
        text.scale(0.75)
        text.move_to(3*UP+3*LEFT)
        text.set_color(PURPLE_E)
        arrow_1.set_color(PURPLE_E)
        arrow_2.set_color(PURPLE_E)
        self.play(Write(text))
        self.play(ShowCreation(arrow_1), ShowCreation(arrow_2))
        self.wait(2)
        text1 = TextMobject("After we apply Gram-Schmidt Orthogonalization Process to set of linearly independent vectors")
        text1.scale(0.6)
        text1.move_to(3*UP+2*LEFT)
        text1.set_color(GREEN)
        arrow_a = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+RIGHT))
        arrow_a.set_color(GREEN)
        arrow_a.scale(2)
        self.play(Transform(text,text1))
        self.wait(2)
        self.play(Transform(arrow_1,arrow_a))
        arrow_b = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+LEFT))
        arrow_b.set_color(GREEN)
        arrow_b.scale(2)
        self.play(Transform(arrow_2,arrow_b))
        self.wait(2)
acd3f33d1e40135426d72aa05af71790f45a63a3
<mask token>

<mask token>


class Orthonormal(Scene):
    <mask token>

<mask token>


class Orthonormal(Scene):

    def construct(self):
        Centre = DOWN
        arrow_1 = Arrow(start=Centre + ORIGIN, end=Centre + 1.414 * (UP +
            RIGHT))
        arrow_2 = Arrow(start=Centre + ORIGIN, end=Centre + 2 * UP)
        arrow_1.scale(1.35)
        arrow_2.scale(1.35)
        text = TextMobject('This is a set of linearly independent vectors')
        text.scale(0.75)
        text.move_to(3 * UP + 3 * LEFT)
        text.set_color(PURPLE_E)
        arrow_1.set_color(PURPLE_E)
        arrow_2.set_color(PURPLE_E)
        self.play(Write(text))
        self.play(ShowCreation(arrow_1), ShowCreation(arrow_2))
        self.wait(2)
        text1 = TextMobject(
            'After we apply Gram-Schmidt Orthogonalization Process to set of linearly independent vectors'
            )
        text1.scale(0.6)
        text1.move_to(3 * UP + 2 * LEFT)
        text1.set_color(GREEN)
        arrow_a = Arrow(start=Centre + ORIGIN, end=Centre + 0.707 * (UP +
            RIGHT))
        arrow_a.set_color(GREEN)
        arrow_a.scale(2)
        self.play(Transform(text, text1))
        self.wait(2)
        self.play(Transform(arrow_1, arrow_a))
        arrow_b = Arrow(start=Centre + ORIGIN, end=Centre + 0.707 * (UP + LEFT)
            )
        arrow_b.set_color(GREEN)
        arrow_b.scale(2)
        self.play(Transform(arrow_2, arrow_b))
        self.wait(2)

from manimlib.imports import *


class Orthonormal(Scene):

    def construct(self):
        Centre = DOWN
        arrow_1 = Arrow(start=Centre + ORIGIN, end=Centre + 1.414 * (UP +
            RIGHT))
        arrow_2 = Arrow(start=Centre + ORIGIN, end=Centre + 2 * UP)
        arrow_1.scale(1.35)
        arrow_2.scale(1.35)
        text = TextMobject('This is a set of linearly independent vectors')
        text.scale(0.75)
        text.move_to(3 * UP + 3 * LEFT)
        text.set_color(PURPLE_E)
        arrow_1.set_color(PURPLE_E)
        arrow_2.set_color(PURPLE_E)
        self.play(Write(text))
        self.play(ShowCreation(arrow_1), ShowCreation(arrow_2))
        self.wait(2)
        text1 = TextMobject(
            'After we apply Gram-Schmidt Orthogonalization Process to set of linearly independent vectors'
            )
        text1.scale(0.6)
        text1.move_to(3 * UP + 2 * LEFT)
        text1.set_color(GREEN)
        arrow_a = Arrow(start=Centre + ORIGIN, end=Centre + 0.707 * (UP +
            RIGHT))
        arrow_a.set_color(GREEN)
        arrow_a.scale(2)
        self.play(Transform(text, text1))
        self.wait(2)
        self.play(Transform(arrow_1, arrow_a))
        arrow_b = Arrow(start=Centre + ORIGIN, end=Centre + 0.707 * (UP + LEFT)
            )
        arrow_b.set_color(GREEN)
        arrow_b.scale(2)
        self.play(Transform(arrow_2, arrow_b))
        self.wait(2)

from manimlib.imports import *

class Orthonormal(Scene):
    def construct(self):
        Centre = DOWN
        arrow_1 = Arrow(start = Centre+ORIGIN,end = Centre+1.414*(UP+RIGHT))
        arrow_2 = Arrow(start = Centre+ORIGIN,end = Centre+2*UP)
        arrow_1.scale(1.35)
        arrow_2.scale(1.35)
        text = TextMobject("This is a set of linearly independent vectors")
        text.scale(0.75)
        text.move_to(3*UP+3*LEFT)
        text.set_color(PURPLE_E)
        arrow_1.set_color(PURPLE_E)
        arrow_2.set_color(PURPLE_E)
        self.play(Write(text))
        self.play(ShowCreation(arrow_1), ShowCreation(arrow_2))
        self.wait(2)
        text1 = TextMobject("After we apply Gram-Schmidt Orthogonalization Process to set of linearly independent vectors")
        text1.scale(0.6)
        text1.move_to(3*UP+2*LEFT)
        text1.set_color(GREEN)
        arrow_a = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+RIGHT))
        arrow_a.set_color(GREEN)
        arrow_a.scale(2)
        self.play(Transform(text,text1))
        self.wait(2)
        self.play(Transform(arrow_1,arrow_a))
        arrow_b = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+LEFT))
        arrow_b.set_color(GREEN)
        arrow_b.scale(2)
        self.play(Transform(arrow_2,arrow_b))
        self.wait(2)