All you have to do is place the tip of one on the tail of the other.
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The condition is the two vectors are perpendicular to each other.
A.b.c=0
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
When the angle between the two vectors are not a multiple of 180 degrees.
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.