Construct a unit vector in the same direction as w = (4, 6)T.

A good answer might be:

  1. | w | = (16 + 36)   =   52
  2. wu = (4, 6)T / (52)

Check on the Answer

Well, that was fun. Now check that the answer is correct: 

| wu |2  =  (42 +  62) / (52)2

| wu |2  =  (16 + 36)/52 = 52/52  =1.0

| wu |   =  1.0

A unit vector formed from a three dimensional vector will point in the same direction as the original.

QUESTION 12:

Normalize: g   =   ( -3, 4, -1)T