ACTIVITY 3.3
VECTORS IN POLAR FORM (OR IN MODULE-ARGUMENT FORM)

A vector remains perfectly determinate if we know his module and his argument. His module is a positive number and his argument, an angle.

We will indicate a vector of module M and argument with notation M _to; this is the polar form of a vector (or form module-argument).

For example, the vector of module 4 and 60º argument we will indicate it in polar form as
4 _60º . In the right figure you have indicate pictures of vectors M, N, R and T which have by modules M, N, R and S, and for arguments, angles , , and respectively.

If we take in account about what we have said in the previous activity regarding to the multiplicity about arguments of the same vector, he can write

4 _60º = 4 _420º = 4 _780º = 4 _-300º

INTERACTIVE ACTIVITY

You can vary the argument this vector moving the bright green point, and vary his module moving the dark green point.

You build next vectors:

1)  3,5 _60º
2)  5 _135º
3)  4 _180º
4)  2.65 _240º
5)  3 _300º
6)  2 _{- 38º}
7)  3.25 _450º
8)  4.6 _945º

SOLUTION

END OF ACTIVITY 3.3
VECTORS IN POLAR FORM (OR IN MODULE-ARGUMENT FORM)