To show that W is a vector space with these operations, we would need to show that adding two elements from W results in an element in W, scaling an element in W by any real number s results in an element in W, and all eight of the properties hold. Unfortunately, W is not a vector space with these operations. That means that at least one of the ten things that we need to check to see if W is a vector space must fail. In fact, exactly two of these ten things fail. Determine which two fail and illustrate with specific numerical examples why they fail.

What are the choices?

Idon't mean to be a smart alec, length of atoms' bonds is the simplest way to define it.

Vander waals forces are inter molecular bonds that exist within molecules of the same substance. a water molecule is made up of oxygen and hydrogen atoms which share electrons between each other. the vander waals forces are forces that exist between multitude of different  molecules of water. dipole dipole forces is the type of vander waals force that exist in water. the oxygen atom which is more electronegative pulls the shared electron closer to itself thus generating a partial negative charge while the hydrogen acquire a partial positive charge. these two different charges causes attraction to occur in water molecules.