The simple sum of two co-initial vectors is $$16$$ units. Their vectors sum is $$8$$ units. The resultant of the vectors is perpendicular to the smaller vector. The magnitudes of the two vectors are:
A
$$4$$ units and $$12$$ units
B
$$2$$ units and $$14$$ units
C
$$8$$ units and $$8$$ units
D
$$6$$ units and $$10$$ units
Correct option is C. $$6$$ units and $$10$$ units