Vectors – Proof that the rhombus diagonals are perpendicular – Exercise 3576

Exercise

A rhombus figure whose diagonals are

$\overrightarrow{CA}=\vec{a}+\vec{b}$

$\overrightarrow{DB}=\vec{b}-\vec{a}$

Where

$\vec{a},\vec{b}$

Are the sides on which the rhombus is built.

Prove that the diagonals are perpendicular.

Proof

Coming soon…