q   =   (2.2, 3.6)T
r   =   (-4.8, -2.2)T
s   =   q + r

A good answer might be:

| q |   =  ( 2.2*2.2 + 3.6*3.6 )   =  ( 4.84 + 12.96 )   =   17.8   =   4.219
| r |   =  ( -4.8* -4.8 + -2.2 * -2.2 )   =  ( 23.04 + 4.84 )   =   27.88   =   5.280
| s |   =  ( -2.6 * -2.6 + 1.4*1.4 )   =  ( 6.76 + 1.96 )   =   8.72   =   2.953

As expected, | s | is less than | q | + | r |.


Length of 3D Vectors

Three dimensional vectors have length. The formula is about the same. The length of a vector represented by a three-component matrix is:

| (x, y, z)T |  =  ( x2 + y2 + z2)

For example: 

| (1, 2, 3)T |
  =  ( 12 + 22 + 32 )
  =  ( 1 + 4 + 9 )  =   14   =   3.742

QUESTION 8:

What is the length of   (-1, -2, 3)T