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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

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