# Understand the problem

Cauchy Schwarz Inequality is a powerful tool in Algebra. It was beautiful geometric implications as well. Watch the video and solve the tutorial problems to delve deep into the idea.

# Tutorial Problems!

[/et_pb_text][et_pb_text _builder_version="4.0.6"]1. Look at the expression $\sqrt{x_1^2 + y_1^2} \times \sqrt {x_2^2 + y_2^2} \geq (x_1 x_2 + y_1 y_2 )$  Can you simply square both sides and prove this ? 2. Show that if A, B are any two points in the plane and O is the origin then cosine of the angle AOB is the ratio of $$\frac{\text{dot product of the coordinates}} {\text{product of their distances from origin}}$$[/et_pb_text][et_pb_text _builder_version="3.27.4" text_font="Raleway|300|||||||" text_text_color="#ffffff" header_font="Raleway|300|||||||" header_text_color="#e2e2e2" background_color="#0c71c3" custom_margin="48px||48px" custom_padding="20px|20px|20px|20px" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3"]

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