Answer:
(a.a)-(b.b)=|a|²-|b|²=0
As the dot product of the diagonals is 0, the diagonals must be perpendicular.
Step-by-step explanation:
- All the sides are equal in lengths and the sides that are opposite to each other and parallel so it can be expressed as the same vectors.
- These diagonals can be expressed by equation a+b and a-b
- Take the dot product of the diagonals and simplify.
(a+b).(a-b)=(a.a)-(b.b)
4. A vector dotted with itself is its length squared, and we know that the
side lengths are equal to each other.
(a.a)-(b.b)=|a|²-|b|²=0
