1.

Abcd is a parallelogram show that 2dc vector minus bd vector equal to ac vector

Answer»

Let AB = a = DC

BC = b = AD

AC, DB be the DIAGONALS {a,b are vectors}

AC+DB

(AB+BC)+ (DA+DC)

(a+b)+ (-b+a) {-b as the DIRECTION is NEGATIVE}

2a

=2DC

Hence, 2DC=AC+DB

2DC-DB = AC



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