Answer:
Yes. This confusion leads to the use of homogeneous coordinates, another way to represent points and vectors with column matrices. (Your graphics textbook will explain this system).
Yes. This confusion leads to the use of homogeneous coordinates, another way to represent points and vectors with column matrices. (Your graphics textbook will explain this system).
But these notes will continue to use column matrices. If vectors are represented with column matrices, then vector addition is represented by addition of column matrices. For example:
a = ( 3, 2 )T b = ( -2, 1 )T a + b = c = ( 1, 3 )T
The diagram shows the head-to-tail rule used to add a and b to get c. Adding the column matrices a and b yields the column matrix c. This matrix is the correct representation of the vector c.
Now compute c = b + a for the same a and b as above.