The dipole-dipole bond will be formed by atoms of two elements with widely differing electronegativities. Since it is a covalent bond, the two atoms will be non-metals. Electronegativity is just the tendency of an atom to hold or pull electrons onto itself
The easiest way to tell if it is a dipole-dipole bond is to look at Paulings table of electronegativities. If the electronegativity difference between the two atoms of the bond is between 0.5 and 1.6 then there is a dipole-dipole bond.
Another term for dipole-dipole bond is polar covalent bond.
In most cases though, you will not have Paulings table of electronegativities handy and you have to have a general idea of the periodic and group trends in electronegativity. Electronegativity decreases going down a group and it increases going from left to right across a period. So a bond between O and Br (O-Br) will be a dipole-dipole bond.
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