Here it is probably easiest to do the dot product first:
( -2, 0, 2)T · ( (1, -1, 1)T + ( 3, 1, 4)T )
= ( -2, 0, 2)T · (1, -1, 1)T + ( -2, 0, 2)T · ( 3, 1, 4)T = 0 + 2 = 2
You may find it useful to distribute your study time over the following topics:
Click on a term to see where it was discussed in this chapter. The next chapter will discuss how the dot product relates to the length of a vector.