Suppose that a quadrilateral has all sides of equal length and opposite sides are parallel. Use vector methods to show that the diagonals are perpendicular.
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Let `veca and vecb ` represented by sides of quadrilateral of equal length. i.e.
Also let define
`veca.veca=|a|^2` and `vecb.vecb=|b|^2`
The diagonals of the quadrilateral will be represented by `veca+vecb `
Two vectors are perpendicular if their dot product is zero. Thus
This implies diagonals are perpendicular.
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