To add two vectors, the best method is to add their components.
Two-Dimensional Vector Sum:
Resolve each vectors in to their Components
and Add the Components
Use the right triangle rules to determine the
magnitude and direction of the vector sum.
For Vectors that are not in the same direction, you cannot simply add (or subtract) their lengths to find the length of their vector sum.
The simple math operations (+ , - ) are "one-dimensional" actions and you can only add (or subtract) quantities that are in the same direction.
The components of a vector that are along the same direction can be added (or subtracted).
Step by Step ProceduresAddition of Vectors
Two vectors A & B are added together to produce a third vector C = A + B . The magnitude and direction of both A & B can be changed. One also switch to the head to tail method for vector addition.
Components Involved in the Addition of Two Vectors
Similar to the simulation above except one can also display the components of each of the vectors during the addition process. (Only works with IP 2.5)