3.2    Adding Vectors Geometrically

     

To add two vectors, say displacement vectors, means to evaluate the net displacement we can use what is called the graphical method. The net (or resultant) displacement of two displacement vectors  and  is given by the vector equation . The resultant is also a vector. The procedure to add the vectors geometrically is to bring the tail of  at the head of  keeping the orientation of the two vectors unchanged. The vector sum extends from the tail of vector  to the head of vector .

The physlet on the left demonstrate how to add vectors geometrically and also demonstrate the commutative law for vector addition:

click to move the tail end of to the head of .

click

and finally click

click to move the tail end of to the head of .

click

and finally click

 

Demos/Animations Examples/Checkpoints Interactive Problems
am3.2.1 am3.2.2 am3.2.3
     
     
     
     
     
ip3.2.1 ip3.2.2 ip3.2.3
ip3.2.5 ip3.2.4  
     
am = animation ,dm = demo, cp = checkpoint, ex = example, ip = interactive problem