The study of ordered triplets as vectors gives us a chance to review the previous set of notes because the "structure" is the same. The addition, scalar multiplication , and graphing is the "same". The norm of the vector is computed the "same" because the distance between points is as follows:

See 11.2 Example 1

The representation of the vectors in space is the "same" as in plane:

We normalize a vector the "same":

Vectors in Space

See 11.2 Example 3

See 11.2 Example 6

Scalar multiplication is the "same":

See 11.2 Example 4

See 11,2 Example 5

Lastly, the idea that the vector mathematics can be used to model force problems(and the use of Trigonometry in such problems) is the "same" as in the work in a plane.

see 11.2 Example 7

Homework problems # 107 and # 108 also illustrate the last idea. If these seem a bit challenging do not be dismayed, most people are challenged.

Look at the following solved problems in the Exercises at the end of 11.2 : 1,5,23,33,37,39,41,43,45,49,53,61,65,67,73,85 Then do the following unsolved problems as homework: 34,40,62,74,86