Question

Se considera paralelogramul ABCD si fie vectorul a= vectorul AB, vectorul b=vectorul DB. Sa se exprime vectorii AB,CB,CD,AD in functie de vectorul a si vectorul b.

Answer 1

Din ipoteza, vectorul AB = vectorul a.

DC vector + CB vector = DB vector => CB vector = DB vector - DC vector => CB vector = b vector - a vector (AB vector = DC vector)
CD vector = - DC vector = - AB vector = -a vector
AD vector = BC vector = -CB vector = -(b-a) vector =>
=> AD vector = -b + a vector